# Find the maximum and minimum values of the function f(x,y)=4𝑥^2 +9𝑦^2?

Update:

Find the maximum and minimum values of the function f(x,y)=4x^2 +9y^2

subject to xy = 4. Using Lagrange multipliers.

### 2 Answers

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- rotchmLv 71 month ago
Think when you were back in highschool (yes, this is a highschool question and does not involve any calculus).

Given two numbers x & y, what is the smallest possible value for

4x² + 9y² ?

Same question, but with greatest value...

- 1 month ago
It should be pretty easy to see that when you're at (0 , 0), you're at an absolute minimum. (0 , 0 , 13). Any non-zero value for x or y will result in something greater. After that, there is no maximum.

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