Question

How do I prove if y=x^n then y^1=n*x^n-1 using lim h-> 0 f(x+h)-f(x) / h

Answer 1

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Answer 2

With magic, of course :)
LOL
Let's see...
let
\[\large f(x)=x^n \ \ \ n\in \mathbb{Z}^+\]To get its derivative...
\[\large f'(x)=\lim_{h \rightarrow 0}\frac{f(x+h)-f(x)}{h}\]

Answer 3

So how would we prove it using the definiton of the first derivative?