Suppose that f : R +R is differentiable at z = 0.(a) Prove that (t) lim,-o EA = f'(0)(b) Give an example of a function g for which the limit in (t) exists but which is not differentiable atZ= 0.

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Answered: Suppose that f : R -R is differentiable…

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.

Chapter6: Applications Of The Derivative

Section6.CR: Chapter 6 Review

Problem 1CR

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Suppose that f : R -R is differentiable at z = 0. (a) Prove that (t) lim,-o EA = f'(0) (b) Give an example of a function g for which the limit in (t) exists but which is not differentiable at Z= 0.