Find `dy/dx` when `x = a ( sin theta), y = a (costheta)`.

Find dy/dx when x^ y =1

Find dy/dx when x= a (theta + sin theta), y = a(1+cos theta)

If x and y are connected parametrically by the equations given in Exercises 1 to 10, without eliminating the parameter, Find dy/dx : x = a(theta - sin theta), y = a(1+cos theta)

Find dy/dx if x = a(theta +sintheta), y = a(1-cos theta)

Find dy/dx when x^y = y^x

Find dy/dx when x=a (theta + sin theta), y = a(1 + cos theta)

Find dy/dx when y = tan (x+y)

Find (dy)/(dx) when x=a(theta-sintheta),y=b(1-costheta) .

Find dy/dx when x = a sin^2 t, y = b cos^2 t