How do you differentiate tan(sqrt(2x+5))?

1 Answer
Jul 11, 2016

d y=(1+tan^2(sqrt(2x+5)))/(sqrt(2x+5)) * d x

Explanation:

y=tan sqrt(2x+5)

"let's use the chain rule"

d y=(1+tan^2sqrt(2x+5))* cancel(2)/ (cancel(2)*sqrt((2x+5))) d x

d y=(1+tan^2(sqrt(2x+5)))/(sqrt(2x+5)) * d x