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Question: If y = cos<sup>–1</sup>(cosx) then \(\frac{dy}{dx}\) at x = \(\frac{5\pi}{4}\) is :...

If y = cos–1(cosx) then dydx\frac{dy}{dx} at x = 5π4\frac{5\pi}{4} is :

A

1

B

–1

C

12\frac{1}{\sqrt{2}}

D

5π4\frac{5\pi}{4}

Answer

–1

Explanation

Solution

y = cos–1[cos(2p–x)]Ž y = 2p – x Ž \dydx\frac{dy}{dx}= –1