Let f (x) = x\cos^{-1}(-\sin|x|), x \in [-\pi/2,\pi/2], which of the following is true ? [8 Jan 2020 Shift 1]

Correct Answer is : f' is decreasing in (−π2,0) and increasing in (0,π2)

f' is decreasing in (-\pi/2,0) and increasing in (0,\pi/2)

f is not differentiable at x = 0

f' is increasing in (-\pi/2,0) and decreasing in (0,\pi/2)

JEE Main 8 Jan 2020 Shift 1 Solved Paper

Section: Mathematics

Question : 70 of 75

Marks: +1, -0

Let f(x)=xcos−1(−sin|x|),x∈[−

], which of the following is true ?

[8 Jan 2020 Shift 1]

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