(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Trying to find relative min/max

2. Relevant equations

f(x,y)=X^4+y^4-36xy

3. The attempt at a solution

partial WRT(x) = 4x^3-36y

partial WRT(y) = 4y^3-36x

Set Partial WRT(x) = 0

4x^3-36y=0

4x^3=36y

x=(9y)^1/3

plug x into Partial

4[(9y)^1/3]^3-36y=0

36y-36y=0

Im not sure what to do now to find the critical points?

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Need help factoring in two variables

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