a. If f(x) = x 4 , show that b. If f(x) = x n for positive

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a. If f(x) = x⁴, show that

b. If f(x) = xⁿ for positive integer n, show that

c. Use the result in part (b) in the definition of the derivative to prove the power rule:

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Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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Question Posted: May 28, 2023 04:13 AM

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a. If f(x) = x 4 , show that b. If f(x) = x n for positive

Question:

f(x +h)-f(x) h = 4x² + 6x²h + 4xh² + h³.

Step by Step Answer:

a b c From part b The first term on the ri...View the full answer

Calculus For Business, Economics And The Social And Life Sciences

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