Undergraduate

Consider the following. f ( x , y ) = x 2 ey , P ( 7 , 0 ) , u = 1 5

Consider the following.
f(x, y)= x2ey, P(7,0), u =
15
(3i 4j)
(a)
Find the gradient of f.
f(x, y)=
(b)
Evaluate the gradient at the point P.
f(7,0)=
(c)
Find the rate of change of f at P in the direction of the vector u.
Duf(7,0)=

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