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. 2f(x), x=2 b. f(x)+g(x), x=3 c. f(x) g(x), x=3 X f(x) 2 3 3 1

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 38CR: Use the rules for derivatives to find the derivative of each function defined as follows. y=-7x2e-3x
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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. 2f(x), x=2
b. f(x)+g(x), x=3
e. f(g(x)), x=2
f.√f(x), x=2
a. The derivative of 2f(x) with respect to x at x=2 is
(Simplify your answer. Type an exact answer, using as needed.)
c. f(x) g(x), x=3
1
g.
x=3
g²(x)
x
f(x)
g(x)
f'(x)
g'(x)
4
2
3
3
-3
5
3
1
-7
2元
5
f(x)
d.
x=2
g(x)'
h. √²(x)+g²(x), x=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. 2f(x), x=2 b. f(x)+g(x), x=3 e. f(g(x)), x=2 f.√f(x), x=2 a. The derivative of 2f(x) with respect to x at x=2 is (Simplify your answer. Type an exact answer, using as needed.) c. f(x) g(x), x=3 1 g. x=3 g²(x) x f(x) g(x) f'(x) g'(x) 4 2 3 3 -3 5 3 1 -7 2元 5 f(x) d. x=2 g(x)' h. √²(x)+g²(x), x=2
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