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

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

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

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

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