The magnitude of the directional derivative of the function [Tex]f\left( {x,y} \right) = {x^2} + 3{y^2}[/Tex] in a direction normal to the circle [Tex]\,{x^2} + {y^2} = 2,[/Tex] at the point [Tex](1,1),[/Tex] is
[Tex]4\sqrt 2 [/Tex]
[Tex]5\sqrt 2 [/Tex]
[Tex]7\sqrt 2 [/Tex]
[Tex]9\sqrt 2 [/Tex]
This question is part of this quiz :
Directional Derivative