Section 11.6: Problem 8 (1 point) ler C ings Suppose f(x,y) = , P= (1,-1) and v=-11 - 2j. y 1. Find the gradient of f. V
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Section 11.6: Problem 8 (1 point) ler C ings Suppose f(x,y) = , P= (1,-1) and v=-11 - 2j. y 1. Find the gradient of f. V
Section 11.6: Problem 8 (1 point) ler C ings Suppose f(x,y) = , P= (1,-1) and v=-11 - 2j. y 1. Find the gradient of f. Vf(x,y) = (i+ ems j 2. Find the gradient of f at the point P. m 1 Vf(P)=i+ m 2 em 3 3. Find the directional derivative of f at P in the direction of v. Duf(P) = em 4 4. Find the maximum rate of change of f at P. em 5 em 6 em 7 lem 8 alent olem 10 5. Find the (unit) direction vector in which the maximum rate of change occurs at P. it olem 11
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