Show that if f is a differentiable function that satisfies for all real numbers x and all

Question:

Show that if f is a differentiable function that satisfies

for all real numbers x and all positive integers n, then f is a linear function.

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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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Question Posted: Jul 26, 2022 05:10 AM

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Show that if f is a differentiable function that satisfies for all real numbers x and all

Question:

f(x + n) - f(x) n = f'(x)

Step by Step Answer:

Since holds for all real numbers and all positive integers n we have for every real num...View the full answer

Calculus Early Transcendentals

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