How do you find the derivative of $f(x)=e^(2x)$ ?

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Answer 1 · 2018-02-13T23:45:05

$f'(x)=2e^(2x)$

If $f(x)=e^(g(x))$ then $f'(x)=g'(x)e^(g(x))$

$g(x)=2x$
$g'(x)=2$

$f'(x)=g'(x)e^(g(x))=2*e^(2x)=2e^(2x)$

How do you find the derivative of f(x)=e^(2x)f(x)=e^(2x)?