1. (a) Find the directional derivative of f at (2,1) in the direction from (2,1) to...

1. (a) Find the directional derivative of f at (2,1) in the direction from (2,1) to (6,-2). Show your work clearly.

(b) Find a unit vector u such that the directional derivative of f in the direction of u at (2,1) is zero. Show all work required to justify your answer.

Expert Solution

milcah answered 2 years ago

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1. For z=x^2-xy^2 find: a. the gradient for z; b. the directional derivative in direction of <3,-1>; c.the approximation for Δz when taking a Δs =0.05 step from (1,2) in direction of <3,-1>; d. the approximation to the maximum Δz possible when taking a Δs =0.05 step from (1,2).

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