Consider the following table, and assume that f(x) and g(x) are differentiable functions with values as given. X 1 2 3 4 f(x) -7.4 0.2 9.1 2.3 g(x) 8.4 3.8 1.4 4 f'(x) 7.4 -0.8 1.5 -7.7 g'(x) -5 4.7 9.7 1.8 Calculate h'(1) if O a. This derivative does not exist O b. 27.16 O c. 25.16 d. 99.16 e. 101.16 O f. 97.16 h(x) = 2x + f(x)g(x)

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
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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Consider the following table, and assume that f(x) and g(x) are differentiable functions with values as given.
x 1 2 3 4
f(x) -7.4 0.2 9.1 2.3
g(x) 8.4 3.8 1.4 4
f'(x) 7.4 -0.8 1.5 -7.7
g'(x) -5 4.7 9.7 1.8
Calculate h'(1) if
a. This derivative does not exist
O b. 27.16
O c. 25.16
d. 99.16
O e. 101.16
O f. 97.16
h(x) = 2x + f(x)g(x)
Transcribed Image Text:Consider the following table, and assume that f(x) and g(x) are differentiable functions with values as given. x 1 2 3 4 f(x) -7.4 0.2 9.1 2.3 g(x) 8.4 3.8 1.4 4 f'(x) 7.4 -0.8 1.5 -7.7 g'(x) -5 4.7 9.7 1.8 Calculate h'(1) if a. This derivative does not exist O b. 27.16 O c. 25.16 d. 99.16 O e. 101.16 O f. 97.16 h(x) = 2x + f(x)g(x)
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