Multivariable Partial Derivatives

[iFarted]

I'm sorta lost on what to do for F_x.


For F_y, I guessed 0, and it was correct.

[SilentSaber]

well, I'll guess you just take the integral. So it would be:
∫(4,x)[te^(-t^2)dt]
=-1/2(e^(-t^2))|(4, x)
=-1/2(e^(-x^2))+1/2(e^(-16))

Or something like that.

[iFarted]

That's what I did at first, but it said I was wrong @,@

[toasty]

Thinking about it with one variable, suppose you have

G(x) = ∫(4, x) [g(t) dt].

What is G'(x)?

The same principle will apply for f_x in your question, especially since f(x, y) is really just a single-variable function (there is no y in your expression).

[iFarted]

Okay, I finally got it.
F_x = xe^(-x^2).
Thanks SilentSaber and Toasty!