If `y=tan^(-1)""(cosx+sinx)/(cosx-sinx)," then find "(dy)/(dx).`

If y=sqrt(sinx+y) , then find (dy)/(dx)

Find dy/dx , tan^(-1){(cosx - sinx)/(cosx + sinx)} .

If f(x)=cos^(-1)(1/sqrt(13)(2cosx-3sinx)) +sin^(-1)(1/sqrt(13)(2cosx+3sinx)) , then find (df(x))/(dx) at x=3/4dot

If y=|[sinx,cosx,sinx],[cosx,-sinx,cosx],[x,1, 1]| find (dy)/(dx)dot

Evaluate: int(dx)/(cosx-sinx)

Write the following function in the simplest form : tan^(-1)((cosx-sinx)/(cosx+sinx)),(-pi)/4ltxlt(3pi)/4

If y= (x)^cosx ,find dy/dx

Find : int(dx)/(3cosx-4sinx+5) .

If y=(1+sinx-cosx)/(1+sinx+cosx), " show that, " (dy)/(dx)=(1)/(1+cos x).

If y=(xsinx+cosx)/(xcosx-sinx) ,then show that dy/dx=x^2/(xcosx-sinx)^2