Consider the following table, and assume that f(x) and g(x) are differentiable fund as given. X 1 2 3 4 f(x) -4 8.1 2.9 -9.1 g(x) -0.4 8.8 -2.6 -7.3 f'(x) -5.2 -6.2 -2.1 4.4 g'(x) -2.4 1.9 2.7 -9.8 Calculate h'(3) if O a. 8.50 O b. 15.70 c. 8.50 O d. This derivative does not exist O e. -11.20 O f. 7.40 h(x) = xf(x) + 4g(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 12 34
f(x) -4 8.1 2.9 -9.1
g(x) -0.4 8.8 -2.6 -7.3
f'(x) -5.2 -6.2 -2.1 4.4
g'(x) -2.4 1.9 2.7 -9.8
Calculate h'(3) if
a. 8.50
O b. 15.70
O c. 8.50
O d. This derivative does not exist
O e. -11.20
O f. 7.40
h(x) = xf(x) + 4g(x)
Transcribed Image Text:Consider the following table, and assume that f(x) and g(x) are differentiable functions with values as given. x 12 34 f(x) -4 8.1 2.9 -9.1 g(x) -0.4 8.8 -2.6 -7.3 f'(x) -5.2 -6.2 -2.1 4.4 g'(x) -2.4 1.9 2.7 -9.8 Calculate h'(3) if a. 8.50 O b. 15.70 O c. 8.50 O d. This derivative does not exist O e. -11.20 O f. 7.40 h(x) = xf(x) + 4g(x)
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