Question: Consider the following. f ( x , y ) = x 2 ln( y ), P (7, 1), u = ? 5 13 ? i

Consider the following.

f(x, y) = x2 ln(y), P(7, 1), u = ?

5
13

?i +

12
13

?j

(a)Find the gradient of f.

?f(x, y) =


(b)Evaluate the gradient at the point P.

?f(7, 1) =


(c)Find the rate of change of f at P in the direction of the vector u.

Duf(7, 1) =




11. DETAILS SCALC9 14.6.010. Consider the following. 5 12 f(x, y) =

11. DETAILS SCALC9 14.6.010. Consider the following. 5 12 f(x, y) = x In(y), P(7,1), + j 13 13 (a) Find the gradient of f. vf(x, y) = (b) Evaluate the gradient at the point P. Vf(7, 1) = (c) Find the rate of change of f at P in the direction of the vector u. Duf(7, 1) =

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