Find `d/dx(cosx/(1+sinx))`.

Find d/(dx)(cos^-1 (cosx)) when pi le x le 2pi

If y = tan x + sec x , prove that (d^2y)/(dx^2) = (cosx)/((1-sinx)^2)

If y = tanx + sec x , prove that (d^2y)/(dx^2) = (cosx)/((1-sinx)^2)

Find d/(dx) (sin (cosx) + cos (sinx))

Differentiate the following w.r.t.x tan^-1((cosx-sinx)/(cosx + sinx))

Differentiate the following functions with respect to x : tan^(-1)((a+x)/(1-a x)) (ii) tan^(-1)((a cosx-b sinx)/(b cosx+a sinx))

Differentiate the following functions w.r.t.x L tan^-1((cosx)/(1+sinx))

Differentiate the following w.r.t. x : tan^-1((cosx)/(1+sinx))

Solve the differential equation: (dy)/(dx)+y=cosx-sinx

Differentiate (sinx)^(x)+(cosx)^(sinx) w.r.t. x.