Question

What is the derivative of y=tan(ln(2x+1))

Answer 1

(d/dx) tan(x) = (sec(x))^2

(d/dx)ln(x) = 1/x

Chain, chain, chain.....

Answer 2

Thank you very much! I forgot that the derivative of tan(x) = (secx)^2

Answer 3

That's one you may have to look up a few times before it sticks.

You can observe that tan(x) = sin(x)/cos(x) and practice your Quotient Rule if you want to demonstrate it. :-)