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 e. f(g(x)), x=2 b. f(x) + g(x), x=3 f. √f(x), x=2 a. The derivative of 3f(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) g. , x=3 (...) X 2 3 f(x) 7 1 g(x) 3 -5 f'(x) 3 7 * d. f(x) g(x)' -6 3 x=2 h √²²(x)+g²(x), x=2
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 e. f(g(x)), x=2 b. f(x) + g(x), x=3 f. √f(x), x=2 a. The derivative of 3f(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) g. , x=3 (...) X 2 3 f(x) 7 1 g(x) 3 -5 f'(x) 3 7 * d. f(x) g(x)' -6 3 x=2 h √²²(x)+g²(x), x=2
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
Related questions
Question
Goes from part a to h.
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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. 3f(x), x=2
e. f(g(x)), x=2
b. f(x) + g(x), x=3
f. √f(x), x=2
a. The derivative of 3f(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
g.
1
g(x)
, x = 3
X
2
3
f(x)
7
1
g(x)
3
-5
f'(x)
3
7
d.
f(x)
g(x)'
g'(x)
-6
3
x=2
h √²(x)+g²(x), x=2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe26ad238-96a7-4769-a906-76556854c897%2F1d561832-7096-4df6-b585-f1ee52cf8f75%2Fmiggex8_processed.jpeg&w=3840&q=75)
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
e. f(g(x)), x=2
b. f(x) + g(x), x=3
f. √f(x), x=2
a. The derivative of 3f(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
g.
1
g(x)
, x = 3
X
2
3
f(x)
7
1
g(x)
3
-5
f'(x)
3
7
d.
f(x)
g(x)'
g'(x)
-6
3
x=2
h √²(x)+g²(x), x=2
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