he differential coefficient of `f(cosx)` with respect to g `(sinx)` at `x =pi/3 if f'(1/2),g'(sqrt3/2)=-2` is equal to

Differentiate the following function with respect to x : sin^(-1){(sinx+cosx)/(sqrt(2))} , -(3pi)/4 lt xlt pi/4

Differentiate with respect to x: y=3^(x^2)+tan^-1((cosx+sinx)/(cosx-sinx))

If f(x)=|cosx-sinx| , then f'(pi/2) is equal to

Let F(x) be the antiderivative of f(x)=3 cosx-2sinx whose graph passes through the point ((pi)/(2),1) . Then F((pi)/(3)) is equal to……..

Let F(x) be the antiderivative of f(x)=3 cosx-2sinx whose graph passes through the point ((pi)/(2),1) . Then F((pi)/(3)) is equal to……..

If differentiable function f(x) in inverse of g(x) then f^(g(x)) is equal to (g^(x))/((g^(prime)(x))^3) 2. 0 3. (g^(x))/((g^(prime)(x))^2) 4. 1

Differentiate cos^(-1){(cosx+sinx)/(sqrt(2))},\ -pi/4

Differentiate sin^(-1){(sinx+cosx)/(sqrt(2))}, -(3pi)/4