What is the derivative of $x^{e}$ $x^e$ ?

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Answer 1 · 2016-02-18T17:49:00

$= e \cdot x^{e - 1}$ $=e*x^(e-1)$

By definition derivative of $x^{n}$ $x^n$ is given as
$\frac{d}{d x} x^{n} \equiv n \cdot x^{n - 1}$ $d/dxx^n-=n*x^(n-1)$

Inserting in the given expression the value of $n$ $n$ we obtain

$\frac{d}{d x} x^{e} = e \cdot x^{e - 1}$ $d/dxx^e=e*x^(e-1)$

What is the derivative of xex^e?