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Suppose That the Maximum Rate of Change of F At (1−1)( 1 - 1 )

Question 111

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Suppose that the maximum rate of change of f at (1−1)( 1 - 1 ) is 20, and it occurs in the direction of 5i⃗−5j⃗5 \vec { i } - 5 \vec { j } .Find ∇f(1,−1)\nabla f ( 1 , - 1 ) , fx(1,−1)f _ { x } ( 1 , - 1 ) , and fy(1,−1)f _ { y } ( 1 , - 1 ) .

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