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## Homework Statement

Prove that (ax^n)' = nax^n-1 using induction.

I am very weak with induction proof, and I haven't had much trouble proving the basis step, but I can't seem to finish it.....

## Homework Equations

## The Attempt at a Solution

1. Prove (ax)' = a

(a(x+h) - a(x))/h = (ax + ah - ax)/h = (ah)/h = a

2. Prove (ax^n)' = nax^n-1

? I can't seem to get my algebra right....