dy/dt for y = (1+e^t) ln tfind the derivaties and simplify

Asked on by jmg5639

1 Answer | Add Yours

hala718's profile pic

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

Posted on

`y= (1+e^t) ln t`

We need to find the derivative `(dy)/(dt)`

==> We will use the product rule:

If `y= u*v ==gt y' = u'v + uv` '


`==gt y'= (1+e^t)'(lnt) + (1+e^t)(lnt)'`

`==gt y'= (e^t)(lnt) + (1+e^t)(1/t) `

`==gt y' = (e^t)lnt + 1/t + (e^t)/t`


We’ve answered 320,036 questions. We can answer yours, too.

Ask a question