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9-11. Let F(x) = f(x) + g(x), G(x) = f(x) - g(x), and H(x) = 3f(x) + 2g(x), where the graphs of f and g are shown in the figure. Find each of the following. 8 6 2- 0 y = f(x) 2 9. F'(2) 4 y = g(x) 6 8 X

9-11. Let F(x) = f(x) + g(x), G(x) = f(x) - g(x), and H(x) = 3f(x) + 2g(x), where the graphs of f and g are shown in the figure. Find each of the following. 8 6 2- 0 y = f(x) 2 9. F'(2) 4 y = g(x) 6 8 X

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...
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Question 71? And question 9? (Show work, thank you!)
71-72. One-sided derivatives The right-sided and left-sided derivatives of a f(a+h)-f(a) and h function at a point a are given by f'+(a) = lim h→0+ f(a+h) − f(a) - f'_(a) = lim h→0- h derivative f'(a) exists if and only if f'+(a) = f'_(a). 9 71. f(x)= x - 2|; a = 2 4- x² 72. f(x) = 2x + 1 respectively, provided these limits exist. The a. Sketch the following functions. b. Compute f'(a) and f'_(a) at the given point a. c. Is f continuous at a? Is f differentiable at a? if x < 1 2 if x > 1 ; a = 1
Transcribed Image Text:71-72. One-sided derivatives The right-sided and left-sided derivatives of a f(a+h)-f(a) and h function at a point a are given by f'+(a) = lim h→0+ f(a+h) − f(a) - f'_(a) = lim h→0- h derivative f'(a) exists if and only if f'+(a) = f'_(a). 9 71. f(x)= x - 2|; a = 2 4- x² 72. f(x) = 2x + 1 respectively, provided these limits exist. The a. Sketch the following functions. b. Compute f'(a) and f'_(a) at the given point a. c. Is f continuous at a? Is f differentiable at a? if x < 1 2 if x > 1 ; a = 1
9-11. Let F(x) = f(x) + g(x), G(x) = f(x) = g(x), and H(x) = 3 f(x) + 2g(x), where the graphs of f and g are shown in the figure. Find each of the following. 8 6 2 0 y = f(x) 2 9. F'(2) 10. G'(6) 11. H'(2) 4 y = g(x) 6 8. X
Transcribed Image Text:9-11. Let F(x) = f(x) + g(x), G(x) = f(x) = g(x), and H(x) = 3 f(x) + 2g(x), where the graphs of f and g are shown in the figure. Find each of the following. 8 6 2 0 y = f(x) 2 9. F'(2) 10. G'(6) 11. H'(2) 4 y = g(x) 6 8. X
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