What is the derivative of tan(2x+1)?

1 Answer
Feb 1, 2016

(dy)/(dx) = 2 sec^2 (2x+1)

Explanation:

As this is a function within a function, we will apply the Chain Rule.

We know the derivative of tan x and we know the derivative of (ax+c), Then:

(dy)/(dx) = d/(dx) tan(2x+1)

= sec^2 (2x+1) * d/(dx) (2x+1)

= sec^2 (2x+1) * 2

(dy)/(dx) = 2 sec^2 (2x+1)

This will bet the derivative of the given function.