Question

What is the derivative of `arcsin(e^x)`?

Answer 1

The answer `1/dxarcsin(e^x)=[e^x/(sqrt(1-(e^x)^2)]]`

Explanation:

show the steps below

`arcsin(u)=1/(sqrt(1-u^2)`

`(du)/dxarcsin(u)=[1/(sqrt(1-u^2)]]*du`

`arcsin(e^x)=1/(sqrt(1-(e^x)^2)`

`1/dxarcsin(e^x)=[e^x/(sqrt(1-(e^x)^2)]]`