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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