Write x^n = e^lnx^n = e^nlnx and use the fact proved in class that if f(x) =

e^g(x) then f'(x) = e^g(x)g'(x) to show that in general the derivative of

x^n is nx^(n-1)

Please help me to prove it :(

Have a nice day!

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- Dec 2nd 2012, 01:48 PMyanirosePlease help me about differentiation of exponential :(
Write x^n = e^lnx^n = e^nlnx and use the fact proved in class that if f(x) =

e^g(x) then f'(x) = e^g(x)g'(x) to show that in general the derivative of

x^n is nx^(n-1)

Please help me to prove it :(

Have a nice day! - Dec 2nd 2012, 03:17 PMProve ItRe: Please help me about differentiation of exponential :(
Please help you to prove it? Most of the work has already been done for you. You have a VERY simple formula to follow: $\displaystyle \displaystyle \begin{align*} f'(x) = e^{g(x)}\,g'(x) \end{align*}$. Apply it!