Suppose that functions f andg 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. f(x) g(x) f'(x) g'(x) 3 -2 1 - 4 a. 2f(x), x=2 b. f(x) + g(x), x=3 c. f(x) • g(x), x= 3 f(x) d. 9(x) *=2 1 e. f(g(x)), x=2 f. f(x), x-2 x= 3 h. P(x) + g°cx), x=2 g. 9 (x) a. The derivative of 2f(x) with respect to x at x=2 is. (Simplify your answer. Type an exact answer, using a as needed.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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 that functions f andg 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.
f(x)
g(x)
f'(x)
g'(x)
2
3
-2
1
- 4
a. 2f(x), x=2
b. f(x) + g(x), x=3
c. f(x) • g(x), x= 3
f(x)
d.
9(x) *=2
1
e. f(g(x)), x=2
f. Vf(x), x=2
x= 3
h. P(x) + g°cx), x=2
g.
9*(x)
a. The derivative of 2f(x) with respect to x at x=2 is.
(Simplify your answer. Type an exact answer, using a as needed.)
Transcribed Image Text:Suppose that functions f andg 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. f(x) g(x) f'(x) g'(x) 2 3 -2 1 - 4 a. 2f(x), x=2 b. f(x) + g(x), x=3 c. f(x) • g(x), x= 3 f(x) d. 9(x) *=2 1 e. f(g(x)), x=2 f. Vf(x), x=2 x= 3 h. P(x) + g°cx), x=2 g. 9*(x) a. The derivative of 2f(x) with respect to x at x=2 is. (Simplify your answer. Type an exact answer, using a as needed.)
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