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) -9.8 2.7 -4.9 6.3 g(x) 4.3 -6.2 -8.2 -9.9 f'(x) -5.8 5.6 -7.2 6.5 g'(x) 1.9 -6.6-4.2-6.1 Calculate h'(4) if O a. This derivative does not exist. O b. 0.75 O c. 3.40 O d. -2.21 O e. 2.33 O f. 0.59 h(x) = 1 x + g(x) f(x)

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 17CT
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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) -9.8 2.7 -4.9 6.3
g(x) 4.3 -6.2 -8.2 -9.9
f'(x) -5.8 5.6 -7.2 6.5
g'(x) 1.9 -6.6-4.2 -6.1
Calculate h'(4) if
O a. This derivative does not exist.
O b. 0.75
O c. 3.40
O d. -2.21
O e. 2.33
O f. 0.59
h(x)
1
= +
X
g(x)
f(x)
Transcribed Image Text:s page 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) -9.8 2.7 -4.9 6.3 g(x) 4.3 -6.2 -8.2 -9.9 f'(x) -5.8 5.6 -7.2 6.5 g'(x) 1.9 -6.6-4.2 -6.1 Calculate h'(4) if O a. This derivative does not exist. O b. 0.75 O c. 3.40 O d. -2.21 O e. 2.33 O f. 0.59 h(x) 1 = + X g(x) f(x)
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