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(Solved): Find the directional derivative of \( f(x, y, z)=x y+z^{3} \) at the point \( P=(6,-2,-1) \) in the ...
Find the directional derivative of \( f(x, y, z)=x y+z^{3} \) at the point \( P=(6,-2,-1) \) in the direction pointing to the origin. (Give an exact answer. Use symbolic notation and fractions where needed.)
Expert Answer
Solution: It is given that f(x,y,z)=xy+z3 Then, deferentiating f with respect to x partially we've fx(x,y,z)=??x(x