The Binomial Theorem states that for any positive integer n, Use this formula and the definition to show that d dx (x n ) nx n 1 , for any positive integer n (n 1) (a b) a na 'b 21 a 22 ( 1)( 2) 3 2 1 a 'b3 nab b f(x h) f(x) f' (x) lim...

The Binomial Theorem states that for any positive integer n, Use this formula and the definition to

Question:

The Binomial Theorem states that for any positive integer n,

п(n — 1) (a + b)

Use this formula and the definition

f(x + h) – f(x) f' (x) = lim

to show that d/dx (xⁿ) = nx^{n - 1}, for any positive integer n.

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Related Book For answer-question

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 12:00 PM

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The Binomial Theorem states that for any positive integer n, Use this formula and the definition to

Question:

п(n — 1) (a + b)" = a" + na"-'b + 2•1 a"-2ь2 п(п — 1)(п — 2) 3.2.1 a"-'b3 + • ·. + nab"-! + b". а"-Зьз f(x + h) – f(x) f' (x) = lim

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d dx ux lim 0 x h xn ...View the full answer

Calculus Early Transcendentals

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