Find the gradient at the point (3, -3, 2) of the scaler field given by

Question
Find the gradient at the point (3, -3, 2) of the scaler field given by \(\displaystyle=−{4}+{35}\)

Answers (1)

2020-11-02
It is given that f(x,y,z)=xy4ze+35. Here fx(x,y,z)=y, fx(x,y,z)=x, fx(x,y,z)=-4e.
Now we know that gradient of f at a point (x,y,z) is given by \(\displaystyle▽{f}={\left({f}{x}{\left({x},{y},{z}\right)},{f}{y}{\left({x},{y},{z}\right)},{f}{z}{\left({x},{y},{z}\right)}\right)}.\)
Therefore, PSK▽f(3,-3,2)=(fx(3,-3,2),fy(3,-3,2),fz(3,-3,2)) =(-3,3,-4e).ZSK
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