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) -7.7 3.6-5.1 7.2 g(x) -5.9 6.1 -3.8 -0.2 f'(x) -0.43 7.7 -9.1 g'(x) -5.2 -7.9 -4.6-4.4 Calculate h' (2) if O a.-3.36 O b.-3.61 O c. This derivative does not exist O d.-13.23 Oe. -3.86 O f.-4.11 1 h(x) = = + X g(x) f(x)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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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) -7.7 3.6
-5.1 7.2
g(x) -5.9 6.1
-3.8 -0.2
f'(x) -0.43 7.7 -9.1
g'(x) -5.2 -7.9 -4.6-4.4
Calculate h' (2) if
O a.-3.36
O b.-3.61
O c. This derivative does not exist
O d.-13.23
O e. -3.86
O f.-4.11
1
h(x) = = +
X
g(x)
f(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) -7.7 3.6 -5.1 7.2 g(x) -5.9 6.1 -3.8 -0.2 f'(x) -0.43 7.7 -9.1 g'(x) -5.2 -7.9 -4.6-4.4 Calculate h' (2) if O a.-3.36 O b.-3.61 O c. This derivative does not exist O d.-13.23 O e. -3.86 O f.-4.11 1 h(x) = = + X g(x) f(x)
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