1 f(x) = 1+ 2x near x = 0: 1 1+2z 1 (b) Using your answer to (a), what quadratic function would you expect to approximate g(x) = 1+ 2x? 1+2z2 (c) Using your answer to (b), what would you expect the derivative of 1+2z2 to be even without doing any differentiation? d dz 1+2r2

1 f(x) = 1+ 2x near x = 0: 1 1+2z 1 (b) Using your answer to (a), what quadratic function would you expect to approximate g(x) = 1+ 2x? 1+2z2 (c) Using your answer to (b), what would you expect the derivative of 1+2z2 to be even without doing any differentiation? d dz 1+2r2

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

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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Question

(a) Find the local linearization of

1
f(x) =
1+ 2x
near x = 0:
1
1+2z
1
(b) Using your answer to (a), what quadratic function would you expect to approximate g(x) =
1+ 2x?
1+2z2
(c) Using your answer to (b), what would you expect the derivative of
1+2z2
to be even without doing any differentiation?
d
dz
1+2r2

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