(Solution Library) Given f(x,y,z)=√x+yz, P(1,3,1), u=((1)/(√3),(1)/(√3),(1)/(√3)) Find the gradient of f. (b) Evaluate the gradient
Question: Given \(f\left( x,y,z \right)=\sqrt{x+yz},\,\,P\left( 1,3,1 \right),\,\,\,u=\left( \frac{1}{\sqrt{3}},\frac{1}{\sqrt{3}},\frac{1}{\sqrt{3}} \right)\)
- Find the gradient of f. (b) Evaluate the gradient at the point P. (c) Find the rate of change of f at P in the direction of u.
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