Use the definition to find f '(x) for the following functions a f(x) x 2 b f(x) x 3 c f(x) x 4 d Based on your answers to parts (a)(c), propose a formula for f '(x) if f(x) x n , where n is a positive integer f(x h) f(x) f'(x) lim...

Use the definition to find f'(x) for the following functions. a. f(x) = x 2 b. f(x)

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Use the definition f(x + h) – f(x) f'(x) = lim to find f'(x) for the following functions.

a. f(x) = x²

b. f(x) = x³

c. f(x) = x⁴

d. Based on your answers to parts (a)–(c), propose a formula for f'(x) if f(x) = xⁿ, where n is a positive integer.

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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 11:21 AM

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Use the definition to find f'(x) for the following functions. a. f(x) = x 2 b. f(x)

Question:

f(x + h) – f(x) f'(x) = lim

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a fx 2x ...View the full answer

Calculus Early Transcendentals

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