(8) Suppose that f(x) and g(x) are differentiable and one-to-one and f(2) = –1, f'(2) = -3, f(-1) = 3, f'(-1) = -1/2, g(3) = 2, g'(3) = -7 g(2) g(-1) = 4, and g'(-1) = -4. 5, g'(2) = -2, %3D (a) If h(x) = (f o g)(x), find the tangent line to y = h(x) through (3, h(3)). (b) If j(x) = f(x)g(x), find the tangent line to y = j(x) through (2, j(2)). f(x) (c) If k(x) = g(x)' find the tangent line to y = k(x) through (-1, k(-1)). %3D
(8) Suppose that f(x) and g(x) are differentiable and one-to-one and f(2) = –1, f'(2) = -3, f(-1) = 3, f'(-1) = -1/2, g(3) = 2, g'(3) = -7 g(2) g(-1) = 4, and g'(-1) = -4. 5, g'(2) = -2, %3D (a) If h(x) = (f o g)(x), find the tangent line to y = h(x) through (3, h(3)). (b) If j(x) = f(x)g(x), find the tangent line to y = j(x) through (2, j(2)). f(x) (c) If k(x) = g(x)' find the tangent line to y = k(x) through (-1, k(-1)). %3D
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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