# Multivariable Calc Absolute Extrema Problem

joemabloe

## Homework Statement

F(x,y)= sin(x)sin(y)sin(x+y) over the square 0$$\underline{}<$$x$$\underline{}<$$pi and 0$$\underline{}<$$y$$\underline{}<$$pi

(The values for x and y should be from 0 to pi INCLUSIVE)

## The Attempt at a Solution

I know I need to do the partial derivatives in terms of x and y and set them equal to 0 to find the critical points, but I am having some trouble with that.

Tomsk
Do you know $\frac{\partial}{\partial x}\sin(x)$, $\frac{\partial}{\partial x}\sin(y)$ and $\frac{\partial}{\partial x}\sin(x+y)$? You can use the product rule to put them together- it works the same with partial derivatives. Then do the same but with $\frac{\partial}{\partial y}$.

joemabloe
Do you know $\frac{\partial}{\partial x}\sin(x)$, $\frac{\partial}{\partial x}\sin(y)$ and $\frac{\partial}{\partial x}\sin(x+y)$? You can use the product rule to put them together- it works the same with partial derivatives. Then do the same but with $\frac{\partial}{\partial y}$.