Use the definition of the derivative to evaluate f(x)=x". [Hint: Use the Binomial Theorem: (a+b)" = a" +na"-3+ 2! n(n-1) ab² ++ -+nab"- +b* ]

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 96E: What is the purpose of the Intermediate Value Theorem?
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Use the definition of the derivative to evaluate f(x) = x". [Hint: Use the Binomial Theorem:
(a+b)" = a" +ng"-i3 "(n-1)
ag²++nab"- +b" .]
2!
+--.
Transcribed Image Text:Use the definition of the derivative to evaluate f(x) = x". [Hint: Use the Binomial Theorem: (a+b)" = a" +ng"-i3 "(n-1) ag²++nab"- +b" .] 2! +--.
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