Directional Derivative – Calculating Derivative in the direction of a normal to a surface – Exercise 4307

Exercise

Find a level surface of the scalar field

$u=3x^2+5y^2+z^2$

At the point (1,-1, 2) and calculate the directional derivative of u at point and in the normal direction to the surface.

Final Answer

3x^2+5y^2+z^2=12

$D_{\vec{a}}u(1,-1,2)=\sqrt{152}$

Solution

Coming soon…

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