Question

find f when gradient f =2xyi+x^2j

Answer 1

@JamesJ can u plz come help me?

Answer 2

James ur pic looks cool with a purple border i love it

Answer 3

First, what's the definition of gradient? In other words, suppose F is a scalar field,
F = F(x,y),
then what is grad F?

Answer 4

grad F = dF/dxi+dF/dyj

Answer 5

Right, where d here is partial derivative. So that means you know that

dF/dx = 2xy
dF/dy = x^2

Now, given that, what function F satisfies those equations?

Answer 6

f=yx^2

Answer 7

uughhh now i see it

Answer 8

f(x,y) = x^2y + C
yes

Answer 9

idk y i cldnt see it b4

Answer 10

np

Answer 11

Thanks :)