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

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
Question
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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