Question

What is the derivative of `f(x)=( e^(2x))(Ln(x^2+1))`?

Answer 1

See process below

Explanation:

We know that

`(h·g)´(x)=color(red)h´·color(blue)g+color(green)h·g´`

Then in our case

`f´(x)=color(red)(2e^(2x))color(blue)(ln(x^2+1))+color(green)(e^(2x))(2x)/(x^2+1)=`

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