Mathegoras

Vectors and matrices › Vectors in the plane › Components and addition

Second directional derivative of xyz

University · ●●○○○ 20 pts

Find the second directional derivative of p(x,y,z)=xyzp(x,y,z)=xyz at (2,3,1)(2,3,1) in the direction of the vector i−j−k\mathbf{i}-\mathbf{j}-\mathbf{k}, using the unit vector 13(1,−1,−1)\frac{1}{\sqrt{3}}(1,-1,-1) for both directions. Round to two decimal places.

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