DPT Diagnostic Prerequisite Test 1 Linear Equations And Graphs 2 Functions And Graphs 3 Mathematics Of Finance 4 Systems Of Linear Equations; Matrices 5 Linear Inequalities And Linear Programming 6 Linear Programming: The Simplex Method 7 Logic, Sets, And Counting 8 Probability 9 Limits And The Derivatives 10 Additional Derivative Topics 11 Graphing And Optimization 12 Integration 13 Additional Integration Topics 14 Multivariable Calculus 15 Markov Chains A Basic Algebra Review expand_more
10.1 The Constant Eand Continuous Compound Interest 10.2 Derivatives Of Exponential And Logarithmic Functions 10.3 Derivatives Of Products And Quotients 10.4 The Chain Rule 10.5 Implicit Differentiation 10.6 Related Rates 10.7 Elasticity Of Demand Chapter Questions expand_more
Problem 1MP: Matched Problem 1 Use two different methods to find f′(x) for f(x) = 3x3(2x2 − 3x + 1).
Problem 2MP Problem 3MP Problem 4MP Problem 5MP Problem 6MP Problem 1ED Problem 2ED Problem 1E Problem 2E Problem 3E Problem 4E Problem 5E Problem 6E Problem 7E Problem 8E Problem 9E: In Problems 9–34, find f′(x) and simplify.
9. f(x) = 2x3(x2 − 2)
Problem 10E Problem 11E Problem 12E Problem 13E: In Problems 9–34, find f′(x) and simplify.
13.
Problem 14E Problem 15E Problem 16E Problem 17E: In Problems 9–34, find f′(x) and simplify.
17. f(x) = 3xex
Problem 18E Problem 19E: In Problems 9–34, find f′(x) and simplify.
19. f(x) = x3 ln x
Problem 20E Problem 21E: In Problems 9–34, find f′(x) and simplify.
21. f(x) = (x2 + 1) (2x − 3)
Problem 22E Problem 23E Problem 24E Problem 25E: In Problems 9–34, find f′(x) and simplify.
25.
Problem 26E Problem 27E Problem 28E Problem 29E: In Problems 9–34, find f′(x) and simplify.
29.
Problem 30E: In Problems 9–34, find f′(x) and simplify.
30.
Problem 31E Problem 32E Problem 33E: In Problems 9–34, find f′(x) and simplify.
33.
Problem 34E Problem 35E Problem 36E Problem 37E: In Problems 35–46, find h′(x), where f(x) is an unspecified differentiable function.
37. h(x) = x3f... Problem 38E Problem 39E Problem 40E Problem 41E: In Problems 35–46, find h′(x), where f(x) is an unspecified differentiable function.
41.
Problem 42E Problem 43E Problem 44E Problem 45E: In Problems 35–46, find h′(x), where f(x) is an unspecified differentiable function.
45.
Problem 46E Problem 47E: In Problems 47–56, find the indicated derivatives and simplify.
47. f′(x) for f(x) = (2x + 1) (x2 −... Problem 48E Problem 49E: In Problems 47–56, find the indicated derivatives and simplify.
49.
Problem 50E Problem 51E: In Problems 47–56, find the indicated derivatives and simplify.
51. y′ for
Problem 52E Problem 53E: In Problems 47–56, find the indicated derivatives and simplify.
53.
Problem 54E: In Problems 47–56, find the indicated derivatives and simplify.
54.
Problem 55E Problem 56E: In Problems 47–56, find the indicated derivatives and simplify.
56.
Problem 57E: In Problems 57–60:
Find f′(x) using the quotient rule, and
Explain how f′(x) can be found easily... Problem 58E Problem 59E Problem 60E Problem 61E: In Problems 61–66, find f′(x) and find the equation of the line tangent to the graph of f at x =... Problem 62E Problem 63E Problem 64E Problem 65E: In Problems 61–66, find f′(x) and find the equation of the line tangent to the graph of f at x =... Problem 66E Problem 67E: In Problems 67–70, find f′(x) and find the value(s) of x where f′(x) = 0
67. f(x) = (2x − 15) (x2 +... Problem 68E Problem 69E: In Problems 67–70, find f′(x) and find the value(s) of x where f′(x) = 0
69.
Problem 70E Problem 71E Problem 72E Problem 73E: In Problems 71–74, find f′(x) in two ways: (1) using the product or quotient rule and (2)... Problem 74E: In Problems 71–74, find f′(x) in two ways: (1) using the product or quotient rule and (2)... Problem 75E: In Problems 75–92, find each indicated derivative and simplify.
75. f′(w) for f(w) = (w + 1)2w
Problem 76E: In Problems 75–92, find each indicated derivative and simplify.
76. g′(w) for g(w) = (w − 5) log3... Problem 77E: In Problems 75–92, find each indicated derivative and simplify.
77.
Problem 78E Problem 79E: In Problems 75–92, find each indicated derivative and simplify.
79. y′ for
Problem 80E Problem 81E: In Problems 75–92, find each indicated derivative and simplify.
81. f′(x) for
Problem 82E: In Problems 75–92, find each indicated derivative and simplify.
82. y′ for
Problem 83E: In Problems 75–92, find each indicated derivative and simplify.
83. g′(t) if
Problem 84E Problem 85E: In Problems 75–92, find each indicated derivative and simplify.
85.
Problem 86E Problem 87E: In Problems 75–92, find each indicated derivative and simplify.
87.
Problem 88E Problem 89E: In Problems 75–92, find each indicated derivative and simplify.
89. y′ for y = (x2 + x + 1) (x2 − x... Problem 90E Problem 91E: In Problems 75–92, find each indicated derivative and simplify.
91.
Problem 92E: In Problems 75–92, find each indicated derivative and simplify.
92.
Problem 93E: 93. Sales analysis. The total sales S (in thousands) of a video game are given by
where t is the... Problem 94E Problem 95E Problem 96E: 96. Price–supply equation. According to economic theory, the supply x of a quantity in a free market... Problem 97E: 97. Medicine. A drug is injected into a patient’s bloodstream through her light arm. The drug... Problem 98E format_list_bulleted