Suppose the functions f(x) and g(x) satisfy the following: f(2)= g(2) = g(0) = 4 3 2 = ƒ'(2) = g'(2) = g(0) -1 0 3 Showing all your work, find the following values: a. If h(x) = f(x) · g(x), find h' (2). f(x) b. If k(x) = find k' (2) 9 g(x) c. If p(x) = f(g(x)), find p'(0). d. If r(x) = ef(x), find r' (2). Give your answers in exact form.

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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Suppose the functions f(x) and g(x) satisfy the
following:
f(2)= g(2) = g(0) =
4
3
2
=
ƒ'(2) = g′(2) = g'(0)
-1
0
3
Showing all your work, find the following values:
a. If h(x) = f(x) · g(x), find h' (2).
f(x)
b. If k(x) =
find k' (2)
"
g(x)
c. If p(x) = f(g(x)), find p'(0).
d. If r(x) = ef(x), find r' (2).
Give your answers in exact form.
Transcribed Image Text:Suppose the functions f(x) and g(x) satisfy the following: f(2)= g(2) = g(0) = 4 3 2 = ƒ'(2) = g′(2) = g'(0) -1 0 3 Showing all your work, find the following values: a. If h(x) = f(x) · g(x), find h' (2). f(x) b. If k(x) = find k' (2) " g(x) c. If p(x) = f(g(x)), find p'(0). d. If r(x) = ef(x), find r' (2). Give your answers in exact form.
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