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# partial differentiation watch

1. if z = Ax² + Bx + Cy² + Dy + E

what is ∂²z/∂x∂y

how do i calculate that
2. whats ∂z/∂?
3. so i diff wrt y then with x ye?

so ∂/∂x (2Cy+D) = 0 ?
4. Yes. Since nothing in z is an expression of both x AND y multiplied together .

Given partial derivative commute, you can either do it as or .

Sometimes it is easier to do one of the derivatives before the other one.

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Updated: November 24, 2005
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