Homework Help is Here – Start Your Trial Now!
Math
Calculus
43 part a b and c

43 part a b and c

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
See similar textbooks
icon
Related questions
Question

#43 part a b and c

CHAPTER 3 DIFFERENTIATION RULES 061 39. (a) If f(x) = (x²-1)/(x² + 1), find f'(x) and f"(x). (b) Check to see that your answers to part (a) are reasonable by comparing the graphs of f, f', and f". 40. (a) If f(x) = (x² - 1)e*, find f'(x) and f"(x). (b) Check to see that your answers to part (a) are reasonable by comparing the graphs of f, f', and f". 41. If f(x) = x/(1 + x), find f"(1). 42. If g(x) = x/e*, find g®(x). 43. Suppose that f(5) = 1, f'(5) = 6, g(5) = -3, and g'(5) = 2. Find the following values. %3D %3D %3| (() () 44. Suppose that f(2) = -3, g(2) = 4, f'(2) = -2, and g'(2) = 7. Find h'(2). (x)4 (в) (a) h(x) = 5f(x) –- 4g(x) I| (x)6 - (x)fS (b) h(x) = f(x)g(x) (x) (x) (x)6 (x)f + I || (*)ч () 45. If f(x) = e*g(x), where g(0) = 2 and g'(0) = 5, find f'(0). 46. If h(2) = 4 and h'(2) = -3, find %3D (x) xp x=D2 47. If g(x) = xf(x), where f(3) =4 and f'(3)
Transcribed Image Text:CHAPTER 3 DIFFERENTIATION RULES 061 39. (a) If f(x) = (x²-1)/(x² + 1), find f'(x) and f"(x). (b) Check to see that your answers to part (a) are reasonable by comparing the graphs of f, f', and f". 40. (a) If f(x) = (x² - 1)e*, find f'(x) and f"(x). (b) Check to see that your answers to part (a) are reasonable by comparing the graphs of f, f', and f". 41. If f(x) = x/(1 + x), find f"(1). 42. If g(x) = x/e*, find g®(x). 43. Suppose that f(5) = 1, f'(5) = 6, g(5) = -3, and g'(5) = 2. Find the following values. %3D %3D %3| (() () 44. Suppose that f(2) = -3, g(2) = 4, f'(2) = -2, and g'(2) = 7. Find h'(2). (x)4 (в) (a) h(x) = 5f(x) –- 4g(x) I| (x)6 - (x)fS (b) h(x) = f(x)g(x) (x) (x) (x)6 (x)f + I || (*)ч () 45. If f(x) = e*g(x), where g(0) = 2 and g'(0) = 5, find f'(0). 46. If h(2) = 4 and h'(2) = -3, find %3D (x) xp x=D2 47. If g(x) = xf(x), where f(3) =4 and f'(3)
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS