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

Question

76027 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-04-04T22:49:45

$u = sin (x)$ $u = sin(x)$

Derivate will be $u'*e^u$

$(sin(x))' = cos(x)$ $->$ Rotation of $pi/2$

Finally $(e^sin(x))' = cos(x)*e^sin(x)$

What is the derivative of e^sinxesinxe^sinx?