If `x= r cos theta, y = r sin theta`, then `(del r)/(del x)`=_________

If x=r cos theta,y=r sin theta, show that

If x = r cos theta, y = r sin theta, Find (del (x, y)) / (del (r, theta)), (del (r, theta)) / (del (x, y))

If x = r cos theta, y = r sin theta then prove that (del (x, y)) / (del (r, theta)) xx (del (r, theta)) / (del (x, y)) = 1

If u=y^(x) , then (del u)/(del y) =__________

Find dy/dx : x = r cos theta, y = r sin theta

If x = r cos theta and y = r sin theta, prove that (del ^ (2) r) / (del x ^ (2)) + (del ^ (2) r) / (del y ^ (2)) = (1) / (r) [((del r) / (del x)) ^ (2) + ((del r) / (del y)) ^ (2)]

If u= y sin x then (del^(2)u)/(del x del y) =___________

If x = r cos theta, y = r sin theta, r =a(1+cos theta) then find (dy)/(dx)

Solve the following: If x = r cos theta and y = r sin theta , then prove x^2 + y^2 = r^2