Find the maximum and minimum values of f(x,y)=xye^(-x^(2)-y^(4))

Question

roadjester · Answer

Erm, I would help, but I kinda need to see that written out...
I can't understand the question when it's written like that. I don't know what's squared, what's not etc.

anonymous · Answer

oh okay I will attach a file with the solution to this question, where you are able to see the equation in a sec.

anonymous · Answer

attachment

anonymous · Answer

Here it is, I jut cant follow what they are doiing, I need more details

anonymous · Answer

Here it is as a pdf

roadjester · Answer

Okay, you have an exponential function. Exponential functions are never 0. Therefore, the application of the 0 product property is irrelevant and you only need to worry about the other parts of the function.

I recall working with this type of setup and I believe these are polar coordinates right? Either that or it's two-variable calculus, which I haven't seen in a really long while so sorry. Hope this helps even a little.

anonymous · Answer

It's under the subject Applications of Parial Derivatives

anonymous · Answer

Thanks anyway

roadjester · Answer

|dw:1330189559182:dw|

I don't know if that makes sense or if that drawing even comes out right, but a minimum occurs when the slope of the tangent line goes from negative to positive, and vice-versa for the maximum, but you know that. That's what the + and - signs are for. See if applying that to your question helps.