solve the answers handwritten but please type all the final answers together in the different section after solving. Thanks.

1. [-/1 Points] DETAILS SCALCET9 14.6.004.EP. Consider the following. f( x, y) = xy3 - x2 Find the partial derivatives. fx (x, y ) = fy ( x , y ) = Find the directional derivative of fat the point (1, 4) in the direction indicated by the angle 0 = _ DJf(1, 4) = Need Help? Read It 2. [-/1 Points] DETAILS SCALCET9 14.6.005. Find the directional derivative of f at the given point in the direction indicated by the angle 0. f(x, y) = y cos(xy), (0, 1), 8 = _ DJf(0, 1) = Need Help? Read It3. [-I1Points] I DETAILS I SCALCETB 14.6.1108. Consider the following. f(x. y) = xzey. nos, 0). u = g?\" 31) (3) Find the gradient of f. (b) Evaluate the gradient at the point P. (c) Find the rate of change of fat P In the direction of the vector u. Need Help? 4. [-11 Points] DETAILS SCALCET914.6.011. Consider the following. x: .V: Z) = xzyz Xyzst H41 _11 1): II =