R Functions, Graphs, And Models 1 Differentiation 2 Applications Of Differentiation 3 Exponential And Logarithmic Functions 4 Integration 5 Applications Of Integration 6 Functions Of Several Variables CR Cumulative Review A Review Of Basic Algebra PSDT Prerequisite Skills Diagnostic Test expand_more
1.1 Limits: A Numerical And Graphical Approach 1.2 Algebraic Limits And Continuity 1.3 Average Rates Of Change 1.4 Differentiation Using Limits Of Difference Quotients 1.5 The Power And Sum–difference Rules 1.6 The Product And Quotient Rules 1.7 The Chain Rule 1.8 Higher-order Derivatives Chapter Questions expand_more
Problem 1E: Find .
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Problem 2E: Find d2y/dx2. y=x5+9 Problem 3E: Find .
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Problem 4E: Find .
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Problem 5E: Find .
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Problem 6E: Find d2y/dx2. y=4x2+3x1 Problem 7E: Find d2y/dx2. y=7x+2 Problem 8E: Find d2y/dx2. y=6x3 Problem 9E: Find .
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Problem 10E: Find .
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Problem 11E: Find .
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Problem 12E: Find d2y/dx2. y=x4 Problem 13E: Find f(x). f(x)=x35x Problem 14E: Find f(x). f(x)=x4+3x Problem 15E: Find .
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Problem 16E: Find .
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Problem 17E: Find .
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Problem 18E: Find f(x). f(x)=4x3 Problem 19E: Find .
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Problem 20E: Find f(x). f(x)=(x3+2x)6 Problem 21E: Find .
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Problem 22E: Find f(x). f(x)=(2x23x+1)10 Problem 23E: Find .
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Problem 24E: Find f(x). f(x)=(x21)23 Problem 25E: Find y. y=x3/25x Problem 26E: Find y. y=x2/3+4x Problem 27E: Find y. y=(x3x)3/4 Problem 28E: Find y. y=(x4+x)2/3 Problem 29E: Find .
29.
Problem 30E: Find y. y=2x5/4+x1/2 Problem 31E: Find y. y=2x3+1x2 Problem 32E: Find y. y=3x41x Problem 33E: Find y. y=(x2+3)(4x1) Problem 34E: Find y. y=(x2+3)(4x1) Problem 35E: Find y. y=3x+12x3 Problem 36E: Find y. y=2x+35x1 Problem 37E: For y=x5, find d4y/dx4. Problem 38E: 38. For , find .
Problem 39E: 39. For , find .
Problem 40E: 40. For , find .
Problem 41E: 41. For , find .
Problem 42E: For f(x)=x2x1/2, find f(4)(x). Problem 43E: For g(x)=x43x37x26x+9, find g(6)(x). Problem 44E: 44. For , find .
Problem 45E: Given s(t)=10t2+2t+5, where s(t) is in meters and t is in seconds, find each of the following. a. a)... Problem 46E: Given s(t)=t3+t where s(t) is in feet and t is in seconds, find each of the following. a. v(t) b.... Problem 47E: 47. Given
,
where is in miles and t is in hours, find each of the following.
a.
b.
c. The... Problem 48E: 48. Given
,
where is in meters and t is in seconds, find each of the following.
a.
b.
c. The... Problem 49E: Free fall. When an object is dropped the distance it falls in t seconds, assuming negligible air... Problem 50E: 50. Free fall. (See Exercises 49.) Suppose a worker drops a bolt from a scoffold high above a work... Problem 51E: Free fall. Find the velocity and acceleration of the stone in Exercises 3 after it has been falling... Problem 52E: 52. Free fall. Find the velocity and acceleration of the stone in Exercises 3 after it has been... Problem 53E: 53. The following graph describes a bicycle racer’s distance from a roadside television... Problem 54E: The following graph describes an airplanes distance from its last point of rest. a. Is the planes... Problem 55E: Sales. The following graph represents the sales, y, of a new video game after t weeks on the market.... Problem 56E: Velocity and acceleration. The following graph describe the distance of Jesses car from home as a... Problem 57E: 57. Sales. A company determine that monthly sales , in thousands of dollars, after t months of... Problem 58E: Sales. Nadias fashions discovers that the number of items. Sold N(t)=2t33t2+2t. days after launching... Problem 59E: Population. The function P(t)=2000t4t+75 gives the population of deer in an area after t months. a.... Problem 60E: 60. Medicine. A medication is injected into the bloodstream, where it is quickly metabolized. The... Problem 61E Problem 62E: Find y for each function. y=12x+1 Problem 63E: Find y for each function. y=x+1x1 Problem 64E: Find y for each function. y=xx1 Problem 65E: For y=xk, find d5y/dx5. Problem 66E Problem 67E Problem 68E Problem 69E: 69. Free fall. On Earth, all free-fall distance functions are of the form where t is in seconds and... Problem 70E: Free fall. On the moon, all free-fall distance functions are of the form s(t)=0.81t2, where t is in... Problem 71E: 71. Hang time. On Earth, an object travels after of free fall. Thus, by symmetry, an athlete would... Problem 72E: Free fall. Skateboarder Danny way free-fell 28 ft from the fender Stratocaster Guitar atop the Hard... Problem 73E: An object rolls 1 m in 1 min. Below are four possible graphs showing the objects distance traveled... Problem 74E: A bicyclists distance from her starting point is given by y=s(t). Suppose the graph of s has a... Problem 75E Problem 76E Problem 77E Problem 78E: Indeterminate Forms and IHopitals Rule, Let f and g be differentiable over an open interval... Problem 79E Problem 80E Problem 81E Problem 82E Problem 83E: Indeterminate Forms and IHopitals Rule, Let f and g be differentiable over an open interval... Problem 84E Problem 85E Problem 86E Problem 87E Problem 88E: For the distance function in each of Exercises 85-88, graph s, v, and a over the given interval.... Problem 89E: For the distance function in each of Exercises 85-88, graph s, v, and a over the given interval.... format_list_bulleted