The function

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

The function f(x)=tan⁡−1(sin⁡x+cos⁡x)f(x) = \tan^{-1}(\sin x + \cos x), x>0x > 0 is always an increasing function on the interval (a) (0,π)(0, \pi) (b) (0,π/2)(0, \pi/2) (c) (0,π/4)(0, \pi/4) (d) (0,3π/4)(0, 3\pi/4)

Related theory

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