Mathematics

Problem

x

approaches

\tfrac{\pi}{2}^-

, which of the following best describes the behavior of

\dfrac{d}{dx}(\tan x)

? a) It increases without bound toward

+\infty

. b) It decreases without bound toward

-\infty

. c) It approaches

0

. d) It does not exist because the derivative is undefined at

x=\tfrac{\pi}{2}