Let g(x) = e¤ + f(x) and h(x) = e**f(x), where f(0) = 3, f'(0) = 5, and f"(0) = -2. (a) Find g'(0) and g"(0) in terms of c. (b) In terms of k, find an equation of the tangent line to the graph of h at the point where x = 0| %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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Let g(x) = e¤ + f(x) and h(x) = e**f(x), where
f(0) = 3, f'(0) = 5, and f"(0) = -2.
(a) Find g'(0) and g"(0) in terms of c.
(b) In terms of k, find an equation of the tangent line to the
graph of h at the point where x = 0|
%3D
Transcribed Image Text:Let g(x) = e¤ + f(x) and h(x) = e**f(x), where f(0) = 3, f'(0) = 5, and f"(0) = -2. (a) Find g'(0) and g"(0) in terms of c. (b) In terms of k, find an equation of the tangent line to the graph of h at the point where x = 0| %3D
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