Computing the derivative of f(x) = e -x a. Use the definition of the derivative to show

Question:

Computing the derivative of f(x) = e^-x

a. Use the definition of the derivative to show that

-h (e-*) = e¯*• lim |dx

b. Show that the limit in part (a) is equal to –1. Use the facts that eh – 1 lim and e^x is continuous for all x.

c. Use parts (a) and (b) to find the derivative of f(x) = e^-x.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Question Posted: Feb 08, 2019 12:01 PM

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Computing the derivative of f(x) = e -x a. Use the definition of the derivative to show

Question:

-h (e-*) = e¯*• lim |dx eh – 1 lim

Step by Step Answer:

a b c d ex d...View the full answer

Calculus Early Transcendentals

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-h (e-) = e¯• lim |dx eh – 1 lim