# Thread: Find the partial derivative

1. ## Find the partial derivative

What is the partial derivative of

π1 (x1, x2) = 12 - x1^2 - (x2-x1)^2 with respect to x2 and set this equal to 0.

and

What is the partial derivative of

π2 (x1, x2) = 12 - (1 - x2)^2 - (x2-x1)^2 with respect to x1 and set this equal to 0.

2. Originally Posted by brumby_3
What is the partial derivative of

π1 (x1, x2) = 12 - x1^2 - (x2-x1)^2 with respect to x2 and set this equal to 0.

and

What is the partial derivative of

π12(x1, x2) = 12 - (1 - x2)^2 - (x2-x1)^2 with respect to x1 and set this equal to 0.
$\frac{\partial{n1}}{\partial{x_2}}=0-0-2(x_2-x_1)$