# Compute the first-order partial derivatives. z=9-x^{2}-y^{2}

James Dale 2022-01-16 Answered
Compute the first-order partial derivatives.
$z=9-{x}^{2}-{y}^{2}$
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Carl Swisher
Given
$z=9-{x}^{2}-{y}^{2}$
$z=9-{x}^{2}-{y}^{2}$
The first order partial derivatives are $\frac{\partial z}{\partial x}\phantom{\rule{1em}{0ex}}\text{and}\phantom{\rule{1em}{0ex}}\frac{\partial z}{\partial y}$
$\frac{\partial z}{\partial x}=-2x$
$\frac{\partial z}{\partial y}=-2y$