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) -4 -3.5 -1.2 4.4 g(x) -5 5.7 6.7 -8.9 f'(x) 6.6 7.9 7.1 0.5 g'(x) -7.2 -8.1 -3 0.1 Calculate h'(3) if O a. 45.97 O b. 51.17 Oc. -41.97 O d. 53.17 O e. 43.97 Of. This derivative does not exist h(x) = 2x + f(x)g(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
Question
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) -4 -3.5 -1.2 4.4
g(x) -5 5.7 6.7 -8.9
f'(x) 6.6 7.9 7.1 0.5
g'(x) -7.2 -8.1 -3 0.1
Calculate h'(3) if
O a. 45.97
O b. 51.17
O c. -41.97
O d. 53.17
O e. 43.97
O f. This derivative does not exist
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) -4 -3.5 -1.2 4.4 g(x) -5 5.7 6.7 -8.9 f'(x) 6.6 7.9 7.1 0.5 g'(x) -7.2 -8.1 -3 0.1 Calculate h'(3) if O a. 45.97 O b. 51.17 O c. -41.97 O d. 53.17 O e. 43.97 O f. This derivative does not exist h(x) = 2x + f(x)g(x)
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning