Fri.Jan 06, 2023
    MATH 208 Fall 2020
Mathematical Applications
Mathematical Applications
 
Total
mad sad okay like love
8 82 90  
Total
mad sad okay like love
8 82 90  
Total
mad sad okay like love
8 82 90  
1   0:00  (7:37)
Charpter 0: Review - Classification of Numbers
Natural, Whole, Integers, Rational, Irrational, Real
Classify ⅝
Natural and Whole
Integer and Rational
All of the above
Irrational
Classify -4
Natural and Whole
Integer and Rational
All of the above
Irrational
Classify 7
Natural and Whole
Integer and Rational
All of the above
Irrational
Classify √3
Natural and Whole
Integer and Rational
All of the above
Irrational
Classify 12/4
Natural and Whole
Integer and Rational
All of the above
Irrational
Classify 0
Natural
Whole, Integer and Rational
All of the above
Irrational
Classify 0.45?
Natural and Whole
Integer and Rational
Rational
Irrational
Classify 12÷(-2)
Natural and Whole
Integer and Rational
All of the above
Irrational
Classify -½?
Natural and Whole
Integer
Rational
Irrational
What is the symbol used to denote the set of integers??
R
I
Q
X
What symbol used to denote the set of rational numbers?
N
R
Q
Z
Is −11π rational or irrational?
Rational
Irrational
All of the above
None of the above
Charpter 0: Review - Classification of Numbers
Charpter 0: Review - Classification of Numbers
Natural, Whole, Integers, Rational, Irrational, Real
Classify ⅝
Natural and Whole
Integer and Rational
All of the above
Irrational
Classify -4
Natural and Whole
Integer and Rational
All of the above
Irrational
Classify 7
Natural and Whole
Integer and Rational
All of the above
Irrational
Classify √3
Natural and Whole
Integer and Rational
All of the above
Irrational
Classify 12/4
Natural and Whole
Integer and Rational
All of the above
Irrational
Classify 0
Natural
Whole, Integer and Rational
All of the above
Irrational
Classify 0.45?
Natural and Whole
Integer and Rational
Rational
Irrational
Classify 12÷(-2)
Natural and Whole
Integer and Rational
All of the above
Irrational
Classify -½?
Natural and Whole
Integer
Rational
Irrational
What is the symbol used to denote the set of integers??
R
I
Q
X
What symbol used to denote the set of rational numbers?
N
R
Q
Z
Is −11π rational or irrational?
Rational
Irrational
All of the above
None of the above
Charpter 0: Review - Classification of Numbers
 
Total
3 2 5  
Total
3 2 5  
Total
3 2 5  
2   0:00  (14:30)
Exponents and Radicals
Simplify √156
√156
4√39
156
2√39
Simplify the following. 2√88
2√22
2√11
4√22
2√44
Simplify the following. 3√25
15√5
5
3√5
15
Express the following using positive exponents. a>sup>4 × a2
a4
a6
a2
a8
Express the following using positive exponents. 710 ÷ 73
77
713
730
73
Express the following using positive exponents. (49)2
411
46
418
47
Express the following using positive exponents. (a7)-3)
1/a21)
a-21)
a10)
a4)
Express the following using positive exponents. 5-4 × 5-3
57
5-7
1/57
5
Express the following using positive exponents. x5 ÷ x-5
x25
1
1/x5
x10
Express the following using positive exponents. 94 ÷ 93
9
97
1/9
96
Exponents and Radicals
Exponents and Radicals
Simplify √156
√156
4√39
156
2√39
Simplify the following. 2√88
2√22
2√11
4√22
2√44
Simplify the following. 3√25
15√5
5
3√5
15
Express the following using positive exponents. a>sup>4 × a2
a4
a6
a2
a8
Express the following using positive exponents. 710 ÷ 73
77
713
730
73
Express the following using positive exponents. (49)2
411
46
418
47
Express the following using positive exponents. (a7)-3)
1/a21)
a-21)
a10)
a4)
Express the following using positive exponents. 5-4 × 5-3
57
5-7
1/57
5
Express the following using positive exponents. x5 ÷ x-5
x25
1
1/x5
x10
Express the following using positive exponents. 94 ÷ 93
9
97
1/9
96
Exponents and Radicals
 
Total
1 2 3  
Total
1 2 3  
Total
1 2 3  
3   0:00  (14:00)
Multiplying and Factoring Algebraic Expressions
x2 - x - 2
(x-1)(x-2)
(x+1)(x-2)
(x+1)(x+2)
(x-1)(x+2)
x2 + 7x + 12
(x+3)(x+4)
(x+3)(x-4)
(x-3)(x-4)
(x-3)(x-4)
x2 + 9x + 8
(x+1)(x-8)
(x-1)(x+8)
(x+1)(x+8)
(x-1)(x-8)
x2 - 15x + 56
(x+7)(x-8)
(x-7)(x-8)
(x-7)(x+8)
(x+7)(x+8)
x2 - 5x - 6
(x+1)(x+6)
(x+1)(x-6)
(x-1)(x-6)
(x-1)(x+6)
x2 + 12x + 32
(x+4)(x-8)
(x-4)(x-8)
(x+4)(x+8)
(x-4)(x+8)
x2 - 5x + 6
(x-3)(x-2)
(x-6)(x+1)
(x+6)(x-1)
(x +3)(x-2)
x2 - 11x + 30
(x+10)(x-3)
(x-6)(x+5)
(x-10)(x+3)
(x-5)(x-6)
Multiply (x - 2)2
x2 -4x + 4
x2 + 4
x2 - 4
x2 - 4x - 4
Multiply (2x + 5)(x - 3)
2x2 + 5x - 15
2x2 + 2x - 15
2x2 + 11x - 15
2x2 - x - 15
Multiplying and Factoring Algebraic Expressions
Multiplying and Factoring Algebraic Expressions
x2 - x - 2
(x-1)(x-2)
(x+1)(x-2)
(x+1)(x+2)
(x-1)(x+2)
x2 + 7x + 12
(x+3)(x+4)
(x+3)(x-4)
(x-3)(x-4)
(x-3)(x-4)
x2 + 9x + 8
(x+1)(x-8)
(x-1)(x+8)
(x+1)(x+8)
(x-1)(x-8)
x2 - 15x + 56
(x+7)(x-8)
(x-7)(x-8)
(x-7)(x+8)
(x+7)(x+8)
x2 - 5x - 6
(x+1)(x+6)
(x+1)(x-6)
(x-1)(x-6)
(x-1)(x+6)
x2 + 12x + 32
(x+4)(x-8)
(x-4)(x-8)
(x+4)(x+8)
(x-4)(x+8)
x2 - 5x + 6
(x-3)(x-2)
(x-6)(x+1)
(x+6)(x-1)
(x +3)(x-2)
x2 - 11x + 30
(x+10)(x-3)
(x-6)(x+5)
(x-10)(x+3)
(x-5)(x-6)
Multiply (x - 2)2
x2 -4x + 4
x2 + 4
x2 - 4
x2 - 4x - 4
Multiply (2x + 5)(x - 3)
2x2 + 5x - 15
2x2 + 2x - 15
2x2 + 11x - 15
2x2 - x - 15
Multiplying and Factoring Algebraic Expressions
 
Total
2 2  
Total
2 2  
Total
2 2  
4   0:00  (17:31)
Rational Equations
(x-2) / 3x = (1/3x) + 2
- (1/2), 2/3
1/2, 2/3
- (1/2), - (2/3)
1/2, - (2/3)
7 / (x+3) = 4 / (x-3) - 3 ( x2-9)
x=1/2
x=10
x=8
d x=12
x / (2x -3) = 3x / (x+11)
x = 0 , 4
x = 1 , 3
x = -4 , 0
x = 5 , 2
(5/3) - (2/x) = 8 /3
4
18/15
26/5
6
4 / ( x2 - 8x +12) = x (x-2) + 1 / (x-6)
-1
2
6
1
(x + 4) / (x - 3)
-4
-3
3
0
State the vertical asymptote: f(x)=(x-2)/(x+5).
x = -2/5
x = -5/2
x = -5
x = 2
Rational Equations
Rational Equations
(x-2) / 3x = (1/3x) + 2
- (1/2), 2/3
1/2, 2/3
- (1/2), - (2/3)
1/2, - (2/3)
7 / (x+3) = 4 / (x-3) - 3 ( x2-9)
x=1/2
x=10
x=8
d x=12
x / (2x -3) = 3x / (x+11)
x = 0 , 4
x = 1 , 3
x = -4 , 0
x = 5 , 2
(5/3) - (2/x) = 8 /3
4
18/15
26/5
6
4 / ( x2 - 8x +12) = x (x-2) + 1 / (x-6)
-1
2
6
1
(x + 4) / (x - 3)
-4
-3
3
0
State the vertical asymptote: f(x)=(x-2)/(x+5).
x = -2/5
x = -5/2
x = -5
x = 2
Rational Equations
 
Total
1 2 3  
Total
1 2 3  
Total
1 2 3  
5   0:00  (14:18)
Solving Polynomial Equations
List the zeros for this function: f(x)=(x+4)(x-3)(x-2)
x=-4, x=3, x=-2
x=-4, x=3, x=2
x=-4, x=3, x=2
x=4, x=3, x=2
What are the x-intercepts of the polynomial y = 3 (x + 4) (x + 1) (x - 3)?
-4, -1, 3
3, -3, 4, 1
4, 1, -3
3, -4, -1, 3
What is another way to say "where a function crosses the x-axis"?
x-intercept
zero
root
all of the above
How many zeros does the polynomial function P(x) = 3x4+4x-8 have?
1
2
3
4
Solve x4 - 256 = 0
x = 4, x = - 4
x = 4, x = 4i
x = 4, x -4, x = 4i
x = 4, x -4, x = 4i, x = -4i
Find all zeros for the polynomial function P(x) = x3 -3x2-5x+15
3, √5
3, √5, -√5
-3, √5, -√5
-3, 5i, -5i
Find all zeros of the polynomial function P(x) = x3+6x2+9x+54
6, 3, -3
-6, 3, -3
-6, 3i, -3i
6, 3i, -3i
Solving Polynomial Equations
Solving Polynomial Equations
List the zeros for this function: f(x)=(x+4)(x-3)(x-2)
x=-4, x=3, x=-2
x=-4, x=3, x=2
x=-4, x=3, x=2
x=4, x=3, x=2
What are the x-intercepts of the polynomial y = 3 (x + 4) (x + 1) (x - 3)?
-4, -1, 3
3, -3, 4, 1
4, 1, -3
3, -4, -1, 3
What is another way to say "where a function crosses the x-axis"?
x-intercept
zero
root
all of the above
How many zeros does the polynomial function P(x) = 3x4+4x-8 have?
1
2
3
4
Solve x4 - 256 = 0
x = 4, x = - 4
x = 4, x = 4i
x = 4, x -4, x = 4i
x = 4, x -4, x = 4i, x = -4i
Find all zeros for the polynomial function P(x) = x3 -3x2-5x+15
3, √5
3, √5, -√5
-3, √5, -√5
-3, 5i, -5i
Find all zeros of the polynomial function P(x) = x3+6x2+9x+54
6, 3, -3
-6, 3, -3
-6, 3i, -3i
6, 3i, -3i
Solving Polynomial Equations
 
Total
2 2  
Total
2 2  
Total
2 2  
6   0:00  (19:20)
Solving Linear Equations
2 + 6x = x - 1
x = 12
x = - 3/5
x = 1/7
x = - 7
x + 3 = - x - 5
x = 4
x = - 4
x = 1
x = -1
How many solutions are there? 6x + 2 = 6x + 5
One
Two
Many
None
( x+3) - (x+4) = -11
6
5
-5
6
- 8 (n-4) = n - 40
8
-7
-8
4
+ 3(5x - 7) = 47
x = 1
x = 2
x = 3
x= 4
-4(v + 1) = 5(v + 1)
4
-1
2
5
= -8 ( -4 + a) = (2a +1)
-1
14
-5
5
-8 ( 6 +n ) + 6 n
12
-16
No solution
10
(x-2) + 7x = -26
-3.2
2.8
-2
2
Solving Linear Equations
Solving Linear Equations
2 + 6x = x - 1
x = 12
x = - 3/5
x = 1/7
x = - 7
x + 3 = - x - 5
x = 4
x = - 4
x = 1
x = -1
How many solutions are there? 6x + 2 = 6x + 5
One
Two
Many
None
( x+3) - (x+4) = -11
6
5
-5
6
- 8 (n-4) = n - 40
8
-7
-8
4
+ 3(5x - 7) = 47
x = 1
x = 2
x = 3
x= 4
-4(v + 1) = 5(v + 1)
4
-1
2
5
= -8 ( -4 + a) = (2a +1)
-1
14
-5
5
-8 ( 6 +n ) + 6 n
12
-16
No solution
10
(x-2) + 7x = -26
-3.2
2.8
-2
2
Solving Linear Equations
 
Total
1 1  
Total
1 1  
Total
1 1  
7   0:00  (12:28)
Solving Quadratic Equations Solving Quadratic Equations
Solving Quadratic Equations Solving Quadratic Equations
 
Total
2 2  
Total
2 2  
Total
2 2  
8   0:00  (10:51)
Solving Cubic Equations Solving Cubic Equations
Solving Cubic Equations Solving Cubic Equations
 
Total
2 2  
Total
2 2  
Total
2 2  
9   0:00  (10:12)
Solving Higher Degree Polynomial Functions & Equations Solving Higher Degree Polynomial Functions & Equations
Solving Higher Degree Polynomial Functions & Equations Solving Higher Degree Polynomial Functions & Equations
 
Total
2 2  
Total
2 2  
Total
2 2  
10    0:00  (8:37)
Miscellaneous Equations part 1 Miscellaneous Equations part 1
Miscellaneous Equations part 1 Miscellaneous Equations part 1
 
Total
2 2  
Total
2 2  
Total
2 2  
11    0:00  (17:02)
Miscellaneous Equations Part 2 Miscellaneous Equations Part 2
Miscellaneous Equations Part 2 Miscellaneous Equations Part 2
 
Total
2 2  
Total
2 2  
Total
2 2  
12    0:00  (8:37)
Coordinate Plane Coordinate Plane
Coordinate Plane Coordinate Plane
 
Total
2 2  
Total
2 2  
Total
2 2  
13    0:00  (11:25)
Charpter 1: Functions and Application Charpter 1: Functions and Application
Charpter 1: Functions and Application Charpter 1: Functions and Application
 
Total
1 2 3  
Total
1 2 3  
Total
1 2 3  
14    0:00  (8:30)
Numerical Expressions Numerical Expressions
Numerical Expressions Numerical Expressions
 
Total
1 1  
Total
1 1  
Total
1 1  
15    0:00  (14:40)
Algebraic Expressions Algebraic Expressions
Algebraic Expressions Algebraic Expressions
 
Total
1 1  
Total
1 1  
Total
1 1  
16    0:00  (32:00)
Functions: Graphically, Algebraically, Numerically and Verbally Functions: Graphically, Algebraically, Numerically and Verbally
Functions: Graphically, Algebraically, Numerically and Verbally Functions: Graphically, Algebraically, Numerically and Verbally
 
Total
1 1 2  
Total
1 1 2  
Total
1 1 2  
17    0:00  (14:09)
Mathematical Model Mathematical Model
Mathematical Model Mathematical Model
 
Total
1 1  
Total
1 1  
Total
1 1  
18    0:00  (4:57)
Liner Functions and Models Liner Functions and Models
Liner Functions and Models Liner Functions and Models
 
Total
1 1  
Total
1 1  
Total
1 1  
19    0:00  (5:17)
Linear Regression Linear Regression
Linear Regression Linear Regression
 
Total
1 1  
Total
1 1  
Total
1 1  
20    0:00  (10:52)
Charpter 2: Simple Interest Charpter 2: Simple Interest
Charpter 2: Simple Interest Charpter 2: Simple Interest
 
Total
1 1  
Total
1 1  
Total
1 1  
21    0:00  (6:31)
Compound Interest Compound Interest
Compound Interest Compound Interest
 
Total
1 1  
Total
1 1  
Total
1 1  
22    0:00  (13:31)
Annuities, Loans, and Bonds Annuities, Loans, and Bonds
Annuities, Loans, and Bonds Annuities, Loans, and Bonds
 
Total
1 1  
Total
1 1  
Total
1 1  
23    0:00  (4:03)
Charpter 3: System of Linear Equations and Matrices (Part 1) Charpter 3: System of Linear Equations and Matrices (Part 1)
Charpter 3: System of Linear Equations and Matrices (Part 1) Charpter 3: System of Linear Equations and Matrices (Part 1)
 
Total
1 1  
Total
1 1  
Total
1 1  
24    0:00  (4:15)
System of Linear Equations and Matrices (Part 2) System of Linear Equations and Matrices (Part 2)
System of Linear Equations and Matrices (Part 2) System of Linear Equations and Matrices (Part 2)
 
Total
1 1  
Total
1 1  
Total
1 1  
25    0:00  (10:20)
Systems of Two Equations and Two Unknowns Systems of Two Equations and Two Unknowns
Systems of Two Equations and Two Unknowns Systems of Two Equations and Two Unknowns
 
Total
1 1  
Total
1 1  
Total
1 1  
26    0:00  (16:24)
Solving Linear Systems Using Matrices Solving Linear Systems Using Matrices
Solving Linear Systems Using Matrices Solving Linear Systems Using Matrices
 
Total
1 1  
Total
1 1  
Total
1 1  
27    0:00  (16:14)
Charpter 4: Introduction to Matrix Algebra Charpter 4: Introduction to Matrix Algebra
Charpter 4: Introduction to Matrix Algebra Charpter 4: Introduction to Matrix Algebra
 
Total
1 1  
Total
1 1  
Total
1 1  
28    0:00  (9:36)
Matrix Addition, Subtraction, and Scalar Multiplication Matrix Addition, Subtraction, and Scalar Multiplication
Matrix Addition, Subtraction, and Scalar Multiplication Matrix Addition, Subtraction, and Scalar Multiplication
 
Total
1 1  
Total
1 1  
Total
1 1  
29    0:00  (10:47)
Matrices Multiplication Matrices Multiplication
Matrices Multiplication Matrices Multiplication
 
Total
1 1  
Total
1 1  
Total
1 1  
30    0:00  (2:47)
Inversing a 2x2 matrix Inversing a 2x2 matrix
Inversing a 2x2 matrix Inversing a 2x2 matrix
 
Total
1 1 2  
Total
1 1 2  
Total
1 1 2  
31    0:00  (16:44)
Inverting a 3x3 Matrix Inverting a 3x3 Matrix
Inverting a 3x3 Matrix Inverting a 3x3 Matrix
 
Total
1 1  
Total
1 1  
Total
1 1  
32    0:00  (19:55)
Game Theory Game Theory
Game Theory Game Theory
 
Total
1 1  
Total
1 1  
Total
1 1  
33    0:00  (10:04)
Input-Output Models Input-Output Models
Input-Output Models Input-Output Models
 
Total
1 1  
Total
1 1  
Total
1 1  
34    0:00  (33:20)
Charpter 5: Linear Programming Charpter 5: Linear Programming
Charpter 5: Linear Programming Charpter 5: Linear Programming
 
Total
2 2  
Total
2 2  
Total
2 2  
35    0:00  (13:12)
Graphing Linear Inequalities Graphing Linear Inequalities
Graphing Linear Inequalities Graphing Linear Inequalities
 
Total
1 1  
Total
1 1  
Total
1 1  
36    0:00  (11:48)
Solving Linear Programming Problem Graphicaly Solving Linear Programming Problem Graphicaly
Solving Linear Programming Problem Graphicaly Solving Linear Programming Problem Graphicaly
 
Total
1 1  
Total
1 1  
Total
1 1  
37    0:00  (10:00)
Simplex Method Simplex Method
Simplex Method Simplex Method
 
Total
1 1  
Total
1 1  
Total
1 1  
38    0:00  (5:45)
General Linear programming General Linear programming
General Linear programming General Linear programming
 
Total
1 1  
Total
1 1  
Total
1 1  
39    0:00  (20:46)
The Simplex Method and the Dual The Simplex Method and the Dual
The Simplex Method and the Dual The Simplex Method and the Dual
 
Total
1 1  
Total
1 1  
Total
1 1  
40    0:00  (3:20)
Charpter 9: Linear and Nonlinear Equations Charpter 9: Linear and Nonlinear Equations
Charpter 9: Linear and Nonlinear Equations Charpter 9: Linear and Nonlinear Equations
 
Total
1 1  
Total
1 1  
Total
1 1  
41    0:00  (15:59)
Quadratic Functions and Models Quadratic Functions and Models
Quadratic Functions and Models Quadratic Functions and Models
 
Total
1 1  
Total
1 1  
Total
1 1  
42    0:00  (14:31)
Exponential Functions and Models Exponential Functions and Models
Exponential Functions and Models Exponential Functions and Models
 
Total
1 1  
Total
1 1  
Total
1 1  
43    0:00  (28:38)
Logarithmic Functions and Models Logarithmic Functions and Models
Logarithmic Functions and Models Logarithmic Functions and Models
 
Total
1 1  
Total
1 1  
Total
1 1  
44    0:00  (14:03)
Logistic Function and Models Logistic Function and Models
Logistic Function and Models Logistic Function and Models
 
Total
1 1  
Total
1 1  
Total
1 1  
45    0:00  (7:15)
Charpter 10: Introduction to Derivatives Charpter 10: Introduction to Derivatives
Charpter 10: Introduction to Derivatives Charpter 10: Introduction to Derivatives
 
Total
1 1  
Total
1 1  
Total
1 1  
46    0:00  (12:12)
Finding Limits Graphically and Numerically Finding Limits Graphically and Numerically
Finding Limits Graphically and Numerically Finding Limits Graphically and Numerically
 
Total
1 1  
Total
1 1  
Total
1 1  
47    0:00  (19:18)
Limits and Continuity Limits and Continuity
Limits and Continuity Limits and Continuity
 
Total
1 1  
Total
1 1  
Total
1 1  
48    0:00  (15:40)
Finding Limits Algebraically Finding Limits Algebraically
Finding Limits Algebraically Finding Limits Algebraically
 
Total
1 1  
Total
1 1  
Total
1 1  
49    0:00  (5:00)
Average Rate of Change Average Rate of Change
Average Rate of Change Average Rate of Change
 
Total
1 1  
Total
1 1  
Total
1 1  
50    0:00  (7:52)
Charpter 12: Maxima and Minima Charpter 12: Maxima and Minima
Charpter 12: Maxima and Minima Charpter 12: Maxima and Minima
 
Total
1 1  
Total
1 1  
Total
1 1  
51    0:00  (20:30)
Graphing using derivatives Graphing using derivatives
Graphing using derivatives Graphing using derivatives
 
Total
1 1  
Total
1 1  
Total
1 1  
52    0:00  (10:12)
Charpter 11: Differentials and Derivatives Charpter 11: Differentials and Derivatives
Charpter 11: Differentials and Derivatives Charpter 11: Differentials and Derivatives
 
Total
1 1  
Total
1 1  
Total
1 1  
53    0:00  (6:17)
Maximum and Minimum Application Problems Maximum and Minimum Application Problems
Maximum and Minimum Application Problems Maximum and Minimum Application Problems
 
Total
1 1  
Total
1 1  
Total
1 1  
54    0:00  (10:50)
Higher Order Derivatives Higher Order Derivatives
Higher Order Derivatives Higher Order Derivatives
 
Total
1 1  
Total
1 1  
Total
1 1  
55    0:00  (3:35)
Power Rule Power Rule
Power Rule Power Rule
 
Total
1 1  
Total
1 1  
Total
1 1  
56    0:00  (7:30)
Analyzing Graphs Analyzing Graphs
Analyzing Graphs Analyzing Graphs
 
Total
1 1  
Total
1 1  
Total
1 1  
57    0:00  (10:26)
Rule of Sum Rule of Sum
Rule of Sum Rule of Sum
 
Total
1 1  
Total
1 1  
Total
1 1  
58    0:00  (2:25)
Constant Rule Constant Rule
Constant Rule Constant Rule
 
Total
1 1  
Total
1 1  
Total
1 1  
59    0:00  (10:31)
Related Rates Related Rates
Related Rates Related Rates
 
Total
1 1  
Total
1 1  
Total
1 1  
60    0:00  (8:39)
Price Elasticity of Demand Price Elasticity of Demand
Price Elasticity of Demand Price Elasticity of Demand
 
Total
1 1  
Total
1 1  
Total
1 1  
61    0:00  (10:10)

Marginal Analysis

Marginal Analysis

Marginal Analysis

Marginal Analysis
 
Total
mad sad okay like love
1 1  
Total
mad sad okay like love
1 1  
Total
mad sad okay like love
1 1  
62    0:00  (11:10)
Product Rule Product Rule
Product Rule Product Rule
 
Total
1 1  
Total
1 1  
Total
1 1  
63    0:00  (11:54)
Quotient Rule Quotient Rule
Quotient Rule Quotient Rule
 
Total
1 1  
Total
1 1  
Total
1 1  
64    0:00  (5:28)
Logical Equivalence Logical Equivalence
Logical Equivalence Logical Equivalence
 
Total
1 1  
Total
1 1  
Total
1 1  
65    0:00  (5:06)
Chain Rule Chain Rule
Chain Rule Chain Rule
 
Total
1 1  
Total
1 1  
Total
1 1  
66    0:00  (9:14)
Derivatives of Logarithmic Functions Derivatives of Logarithmic Functions
Derivatives of Logarithmic Functions Derivatives of Logarithmic Functions
 
Total
1 1  
Total
1 1  
Total
1 1  
67    0:00  (25:32)
Tautologies, Contradictions, and Arguments Tautologies, Contradictions, and Arguments
Tautologies, Contradictions, and Arguments Tautologies, Contradictions, and Arguments
 
Total
1 1  
Total
1 1  
Total
1 1  
68    0:00  (12:02)
Derivatives of Exponential Functions Derivatives of Exponential Functions
Derivatives of Exponential Functions Derivatives of Exponential Functions
 
Total
1 1  
Total
1 1  
Total
1 1  
69    0:00  (12:47)
Implicit Differentiation Implicit Differentiation
Implicit Differentiation Implicit Differentiation
 
Total
1 1  
Total
1 1  
Total
1 1