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(Solved): Calculate the directional derivative of \( f(x, y)=x^{3} y \) in the direction of \( \mathbf{v}=-3 ...
Calculate the directional derivative of \( f(x, y)=x^{3} y \) in the direction of \( \mathbf{v}=-3 \mathbf{i}-2 \mathbf{j} \) at the point \( P=(-1,2) \). Remember to normalize the direction vector. \[ D_{u} f(-1,2)= \]
Expert Answer
We know that; The directional derivative of f(x, y) at the point (a, b), in the direction of the unit vector ''u'' Duf=?f(a,b).u^ Where; ?f(a,b) = Gra