Answer: Computing directional derivatives with the

Chapter 11, Problem 16E

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QUESTION:

Computing directional derivatives with the gradient Compute the directional derivative of the following functions at the given point P in the direction of the given vector. Be sure to use a unit vector for the direction vector.

\(g(x, y)=\sin \pi(2 x-y) ; P(-1,-1) ;\left\langle\frac{5}{13},-\frac{12}{13}\right\rangle\)

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QUESTION:

Computing directional derivatives with the gradient Compute the directional derivative of the following functions at the given point P in the direction of the given vector. Be sure to use a unit vector for the direction vector.

\(g(x, y)=\sin \pi(2 x-y) ; P(-1,-1) ;\left\langle\frac{5}{13},-\frac{12}{13}\right\rangle\)

ANSWER:

Solution 16EStep 1:Given Function g(x,y) = Point P (-1,-1 ) and given vector is >

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