Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Continuity and Differentiability

Question:

If $y=\sin^{-1}(\cos x)+\cos^{-1}(\sin x),0<x<\frac{π}{2}$, then $\frac{dy}{dx}$ is:

Options:

-2

2

1

0

Correct Answer:

-2

Explanation:

$y=\sin^{-1}(\cos x)+\cos^{-1}(\sin x)=(\frac{π}{2}-x)+(\frac{π}{2}-x)=π-2x$

$\frac{dy}{dx}=-2$