1. For z=x^2-xy^2 find: a. the gradient for z; b. the directional derivative in direction of...

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).

Expert Solution

milcah answered 2 years ago

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