Transcribed Image Text: ) Suppose f (x, y) = ,
P = (-2,2) and v = -3i + lj.
A. Find the gradient of f.
Vf =
1/y
E i+ -xy^-2
j
Note: Your answers should be expressions of x and y; e.g. “3x – 4y”
B. Find the gradient of f at the point P.
(Vf)(P) =
1/2
i+ 1/2
j
Note: Your answers should be numbers
C. Find the directional derivative of f at P in the direction of v.
Duf =
Note: Your answer should be a number
D. Find the maximum rate of change of f at P.
Note: Your answer should be a number
E. Find the (unit) direction vector in which the maximum rate of change occurs at P.
u =
i+
j
Note: Your answers should be numbers
Order an Essay Now & Get These Features For Free:
Turnitin Report
Formatting
Title Page
Citation
Outline
