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Directional Derivatives

Consider the function f(x,y,z) = (e^z)ln(x^2 + y^2)

a) Is there a vector r such that the directional derivative of f at (1,1,0) in the direction of r equals 1? If there is, find one such vector. If not, explain why not.

b) Is there a vector r such the directional derivative of f at (1,1,0) in the direction of r equals to -2? If there is, find one such vector. If not, explain why not.

Solution Summary

Directional derivatives are investigated. The solution is detailed and well presented.

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