Question: Consider the function f(x)=x^nwhere n is a positive integer.Use induction to prove that for any value x=a,f^' (a)=n[(a) ]^((n-1) )for all positive integers n=1,2,3....

Consider the function f(x)=x^nwhere n is a positive integer.Use induction to prove that

for any value x=a,f^' (a)=n[(a) ]^((n-1) )for all positive integers n=1,2,3....

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