Differentiate the function y=[ln(1+(e^x))]^2please need details forĀ  solving it

1 Answer | Add Yours

hala718's profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

`y= (ln(1+e^x))^2 `

`==gt y' = [(ln(1+e^x))^2 ]' `

`==gt y' = 2(ln(1+e^x))*(ln(1+e^x))' `

`==gt y' = 2ln(1+e^x) * 1/(1+e^x) * (1+e^x)' `

`==gt y' = 2ln(1+e^x) * 1/(1+e^x) *e^x `

`==gt y' = (2e^x ln(1+e^x))/(1+e^x)`

``

``

We’ve answered 318,913 questions. We can answer yours, too.

Ask a question