As approaches

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

As xx approaches π2−\tfrac{\pi}{2}^-, which of the following best describes the behavior of ddx(tan⁡x)\dfrac{d}{dx}(\tan x)? (a) It increases without bound toward +∞+\infty. (b) It decreases without bound toward −∞-\infty. (c) It approaches 00. (d) It does not exist because the derivative is undefined at x=π2x=\tfrac{\pi}{2}."

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