Let g(x) = sin [f(x + 1) - 3] + 2x, where f is a continuous function with f(2) = 3. The graph of the derivative of f on the interval [-2, 7] is given below. 5 4 3 2 1 21, 2 y f'(x) 1 2 3 4 5 Use a linearization of g to approximate g(1.01). Round to 2 decimal places.

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
icon
Related questions
Question
Q3
Let g(x) = sin [f(x + 1) - 3] + 2x, where f is a continuous function with f(2)=3. The graph
of the derivative of f on the interval [-2, 7] is given below.
ch
3
2
1
2 1
--2-
f'(x)
1 2 3 4 5
X
Use a linearization of g to approximate g(1.01). Round to 2 decimal places.
Transcribed Image Text:Q3 Let g(x) = sin [f(x + 1) - 3] + 2x, where f is a continuous function with f(2)=3. The graph of the derivative of f on the interval [-2, 7] is given below. ch 3 2 1 2 1 --2- f'(x) 1 2 3 4 5 X Use a linearization of g to approximate g(1.01). Round to 2 decimal places.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,