Consider the function f(x)=x" where n is a positive integer. Use induction to prove that for any value x=a, f' (a)=n ((a)) (n-1) for for all positive integers n=1,2,3...
Consider the function f(x)=x" where n is a positive integer. Use induction to prove that for any value x=a, f' (a)=n ((a)) (n-1) for for all positive integers n=1,2,3...
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 15E
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Please include a formal proof. Thanks!
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