How do you find the derivative of $sin (e^{x})$ $sin(e^x)$ ?

Question

How do you find the derivative of $sin (e^{x})$ $sin(e^x)$ ?

1 Answer

Impact of this question

8781 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-04-16T10:05:18

$e^{x} cos (e^{x})$ $e^xcos(e^x)$

Explanation:

differentiate using the $chain rule$ $color(blue)"chain rule"$

$Given f (x) = g (h (x)) then$ $"Given" f(x)=g(h(x))" then"$

$• f'(x)=g'(h(x))xxh'(x)$

$rArrf(x)=sin(e^x)$

$rArrf'(x)=cos(e^x)xxd/dx(e^x)$

$color(white)(rArrf'(x))=e^xcos(e^x)$

Science

Math

Humanities

... and beyond

How do you find the derivative of $sin (e^{x})$ $sin(e^x)$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you find the derivative of sin(e^x)sin(ex)sin(e^x)?

1 Answer

Explanation:

Related questions

Impact of this question

How do you find the derivative of $sin (e^{x})$ $sin(e^x)$ ?