(a) Give the linearization L(x) of f(x) at x = 2. (b) Use your answer from Part (a) to estimate the value of ƒ(2.1). (c) Suppose you are told that ƒ"(2) < 0. Does this lead you to believe that your estimate in Part (b) is too high or too low? Explain.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose f(x) is differentiable at x = 2 and that f(2) = 3 and f′(2) = −4.

(a) Give the linearization L(x) of ƒf(x) at x = 2.
(b) Use your answer from Part (a) to estimate the value of ƒ(2.1).
(c) Suppose you are told that ƒ"(2) < 0. Does this lead you to believe that your estimate
in Part (b) is too high or too low? Explain.
Transcribed Image Text:(a) Give the linearization L(x) of ƒf(x) at x = 2. (b) Use your answer from Part (a) to estimate the value of ƒ(2.1). (c) Suppose you are told that ƒ"(2) < 0. Does this lead you to believe that your estimate in Part (b) is too high or too low? Explain.
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