2. Compute derivatives of implicit functions. e.g. Use implicit differentiation to find Oz/Ox and Oz/dy where z = f(x, y) is implicitly defined by x3 ty' + 2' + 6xyz +4=0. 3. Find tangent planes and linear approximations. e.g. Find the tangent plane to the elliptic paraboloid z = 2x2 + y at (1, 1, 3). e.g. Find the linearization of f(x, y) = xery at (1, 0). Use it to approximate f (1.1, -0.1)