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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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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.
a. 3f(x), x=2
b. f(x) + g(x), x=3
c. f(x) g(x), x= 3
a. The derivative of 3f(x) with respect to x at x = 2 is
(Simplify your answer. Type an exact answer, using as needed.)
1
X
2
3
f(x)
6
1
g(x)
-7
d.
f(x)
g(x)'
f'(x) g'(x)
1
- 6
IN 5
7
3л
, X=2
2
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. a. 3f(x), x=2 b. f(x) + g(x), x=3 c. f(x) g(x), x= 3 a. The derivative of 3f(x) with respect to x at x = 2 is (Simplify your answer. Type an exact answer, using as needed.) 1 X 2 3 f(x) 6 1 g(x) -7 d. f(x) g(x)' f'(x) g'(x) 1 - 6 IN 5 7 3л , X=2 2
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