Suppose that functions f and g and their derivatives with respect to x have the values shown to the right at x = 2 and x = 3. Find the derivatives with respect to x of the combinations below at the given values of x. ... X 2 3 a. The derivative of 2f(x) with respect to x at x = 2 is (Simplify your answer. Type an exact answer, using as needed.) f(x) g(x) 3 2 2 -9 f'(x) g'(x) -4 XNOR 2 9 5

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 46SE: Near the surface of the moon, the distance that an object falls is a function of time. It is given...
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Question
Suppose that functions f and g and their derivatives with
respect to x have the values shown to the right at x = 2
and x = 3. Find the derivatives with respect to x of the
combinations below at the given values of x.
X
2
3
a. The derivative of 2f(x) with respect to x at x = 2 is
(Simplify your answer. Type an exact answer, using as needed.)
f(x)
3
2
g(x)
- 9
f'(x)
NOH
2
9
T
g'(x)
- 4
5
Transcribed Image Text:Suppose that functions f and g and their derivatives with respect to x have the values shown to the right at x = 2 and x = 3. Find the derivatives with respect to x of the combinations below at the given values of x. X 2 3 a. The derivative of 2f(x) with respect to x at x = 2 is (Simplify your answer. Type an exact answer, using as needed.) f(x) 3 2 g(x) - 9 f'(x) NOH 2 9 T g'(x) - 4 5
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