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Given That the Directional Derivative Of f(x,y)f ( x , y )

Question 95

Short Answer

Given that the directional derivative of f(x,y)f ( x , y ) at the point (−1,2)( - 1,2 ) in the direction of {3,−4}\{ 3 , - 4 \} is −10- 10 and that ∣∇f(−1,2)∣=10| \nabla f ( - 1,2 ) | = 10 , find ∇f(−1,2)\nabla f ( - 1,2 ) .

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