Suppose the linear approximation for a function f(x) at a = 2 is given by the tangent line y = −2x + 11. What are f(2) and f '(2)? If  g(x) =[f(x)]2, find the linear approximation for g(x) at a = 2 .

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.CR: Chapter 4 Review
Problem 35CR
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Suppose the linear approximation for a function f(x) at a = 2 is given by the tangent line y = −2x + 11. What are f(2) and f '(2)? If 

g(x) =[f(x)]2, find the linear approximation for g(x) at a = 2

.

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