If y = (logcos x sin x) (lognx cos x) +sin-1(2x/1+x2),then(dy/dx) at x=(π/2) is equal to

Question

If y = (logcos x sin x) (lognx cos x) +sin-1(2x/1+x2),then(dy/dx) at x=(π/2) is equal to (A) (8/(4+π2)) (B) 0 (C) -(8/(4+π2)) (D) 1

Tardigrade Admin · Accepted Answer

Correct answer is (a) (8/(4+π2))

Q. $I f y = (l o g_{cos x} s in x) (l o g_{n x} cos x) + s i n^{- 1} \frac{2 x}{1 + x ^{2}}, t h e n \frac{d y}{d x} a t x = \frac{π}{2}$ is equal to