If `y=cos^(-1)((5cosx-12sinx)/(13)),w h e r ex in (0,pi/2),` then `(dy)/(dx)` is. (a)1 (b) `-1` (c) `0` (d) none of these

y=cos^(-1)((5cos x-12sin x)/(13)),wherexin(0,(pi)/(2)) then (dy)/(dx) is.(a)1(b) -1( c) 0 (d) none of these

The value of "tan"(sin^(-1)("cos"(sin^(-1)x)))"tan"(cos^(-1)(sin(cos^(-1)x))),w h e r ex in (0,1), is equal to (a) 0 (b) 1 (c) -1 (d) none of these

The value of "tan"(sin^(-1)("cos"(sin^(-1)x)))"tan"(cos^(-1)(sin(cos^(-1)x))),w h e r ex in (0,1), is equal to (a) 0 (b) 1 (c) -1 (d) none of these

If y=tan^(-1)((sinx+cosx)/(cosx-sinx)) , then (dy)/(dx) is equal to (a) 1/2 (b) 0 (c) 1 (d) none of these

If y=tan^(-1)((2^x)/(1+2^(2x+1))),t h e n(dy)/(dx)a tx=0 is (a)1 (b) 2 (c) 1n 2 (d) none of these

If x e^(x y)-y=sin^2x then (dy)/(dx)a tx=0 is a. 0 b. 1 c. -1 d. none of these

If x e^(x y)-y=sin^2x then (dy)/(dx)a tx=0 is a. 0 b. 1 c. -1 d. none of these

If y=sin^(-1)(cosx)+cos^(-1)(sinx) , then prove that : dy/dx+2=0 .

Which of the following is/are true? (dy)/(dx)fory=sin^(-1)(cosx),w h e r ex in (0,pi),i s-1 (dy)/(dx)fory=sin^(-1)(cosx),w h e r ex in (0,2pi),i s1 (dy)/(dx)fory=cos^(-1)(sinx),w h e r ex in (-pi/2,pi/2),i s-1 (dy)/(dx)fory=cos^(-1)(sinx),w h e r ex in (pi/2,(3pi)/2),i s-1