Find `dy/dx ` , if `x^y = 2^( x - 4 )`

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

Find dy/dx if 2^(x)+2^(y)=2^(x+y)

find dy/dx if y = (x^(2) - 4x+5) (x^(3) - 2)

Find (dy)/(dx) if y=2^(x^(x))

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

Find (dy)/(dx) , if x=2a t^2 , y=a t^4

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