This exercise shows another way to derive the formula for the derivative of the natural logarithm function

Question:

This exercise shows another way to derive the formula for the derivative of the natural logarithm function using the definition of the derivative.

(a) Using the definition of the derivative, show that

(b) Eliminate h from the result in part (a) using the substitution h = x/m to show that

(d) Assuming that the natural logarithm has the property in part (c), and using a result about

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Calculus With Applications

ISBN: 9780135871348

12th Edition

Authors: Margaret L. Lial

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Question Posted: Jan 03, 2023 04:04 AM

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This exercise shows another way to derive the formula for the derivative of the natural logarithm function

Question:

d(In x) dx = lim In 1 + h→0 h1/h X

Step by Step Answer:

a b Substituting h xm with m for fixed x this last ...View the full answer

Calculus With Applications

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