Finding The Divergence Of A Vector Field

[Baumer8993]

Homework Statement

Find The Divergence Of The Vector Field:
< e^x2 -2xy, sin(y^2), 3yz-2x>

Homework Equations

I know that divergence is ∇ dot F.

The Attempt at a Solution

When I did it by hand I got
2xe^x2 + 2ycos(y²) + 3y

However wolfram alpha says it should be

2xe^x2 + 2ycos(y^2) + y

The difference is the last y. So who is right? This is for a divergence theorem problem, but I do not have an answer key.

 

[ap123]

When you worked out the first term, you forgot to differentiate the -2xy.
If you include this, your answer will agree with Wolfram.

 

[tiny-tim]

Hi Baumer8993!

- 2xy ?

 

[Baumer8993]

Oh wow, thank you for the help!