### Home > APCALC > Chapter 7 > Lesson 7.2.3 > Problem7-77

7-77.

Differentiate each of the following functions.

1. $y = \tan^{-1}(2x)$

1. $y = \tan(2x)$

1. $y = \cot(2x)$

Compare and contrast the functions in parts (a), (b), and (c).

Match the answers with the problems, they are in no particular order:

$\frac{dy}{dx}=-2\csc^{2}(2x)$

$\frac{dy}{dx}=2\sec^{2}(2x)$

$\frac{dy}{dx}=\frac{2}{1+4x^{2}}$