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

If f^(prime)(x)=sqrt(2x^2-1)a n dy=f(x^2),t h e n(dy)/(dx)a tx=1 is 2 (b) 1 (c) -2 (d) none of these

If x^2+y^2=t-1/t and x^4+y^4=t^2+1/t^2, then x^3y (dy)/(dx)= (a) 0 (b) 1 (c) -1 (d) none of these

If x^2+y^2=t-1/t and x^4+y^4=t^2+1/t^2, then x^3y (dy)/(dx)= (a) 0 (b) 1 (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 y=(1+x)^y+sin^-1(sin^2x) , then (dy)/(dx) at x = 0 is

If y=(1+x)^y+sin^-1(sin^2x) , then (dy)/(dx) at x = 0 is

If y=tan^(-1)((sin x+cos x)/(cos x-sin x)), then (dy)/(dx) is equal to (1)/(2)(b)0(c)1(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

If sin(x+y)=log(x+y) , then (dy)/(dx)= (a) 2 (b) -2 (c) 1 (d) -1