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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
by answerhappygod
3 20 Points Given Function Z Xsin Y X Find The Following A The Gradient Vector Z B The Directional Derivativ 1
3 20 Points Given Function Z Xsin Y X Find The Following A The Gradient Vector Z B The Directional Derivativ 1 (12.91 KiB) Viewed 39 times
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.