Find the differential df of the function f given the gradient.?

Question

f= (3x +3e^(-y) i + 3xe^(-y) j.

find df

Answer 1

Favorite Answer

df = [(3x +3e^(-y)] dx + [xe^(-y)]dy

you just have to replace i(hat) with dx and j(hat) with dy

Answer 2

df = < 3 , 3 e^(-y) > dx + < - 3 e^(-y) , - 3x e^(-y) > dy

Answer 3

use mathway.com it helps :)