3. [20 points] Given function z=xsin(y/x). Find the following. (a) The gradient vector ∇z. (b) The directional derivativ
Posted: Thu Jul 14, 2022 4:47 pm
3. [20 points] Given function z=xsin(y/x). Find the following. (a) The gradient vector ∇z. (b) The directional derivative of z at (1,π/2) along direction v=i−j. (c) Verify that the mixed partial derivatives zxy and zyx are equal. (d) Express ∂t∂z if x=en+t,y=en−t by the chain rule. Do NOT simplify.