Find `(dy)/(dx)`if `x-y =pi`

Find (dy)/(dx) if x^(-y)=y^(-x)

Find (dy)/(dx) at x=1,y=(pi)/(4) if sin^(2)y+cos xy=k

If (sin x)^2 =x+y find (dy)/(dx) Find (dy)/(dx) if y=sin^(-1)[2^(x+1)/(1+4^x)]

Find (dy)/(dx) for y=x^(x)

Find (dy)/(dx) for y=x^(x)

Find (dy)/(dx)" for "y=sin^(-1) (cos x), x in (0, pi)cup (pi, 2pi).

Find (dy)/(dx) , when If y = (cos x + sinx)/(cos x - sinx) , show that (dy)/(dx) = sec^(2) (x + (pi)/(4)) .

Find (dy)/(dx) of x^(y)=y^(x)

Find (dy)/(dx) if y^(x)=x^(y)