Compute the first-order partial derivatives.

$z=9-{x}^{2}-{y}^{2}$

James Dale
2022-01-16
Answered

Compute the first-order partial derivatives.

$z=9-{x}^{2}-{y}^{2}$

You can still ask an expert for help

Carl Swisher

Answered 2022-01-17
Author has **28** answers

Given

$z=9-{x}^{2}-{y}^{2}$

Answer

$z=9-{x}^{2}-{y}^{2}$

The first order partial derivatives are$\frac{\partial z}{\partial x}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\frac{\partial z}{\partial y}$

$\frac{\partial z}{\partial x}=-2x$

$\frac{\partial z}{\partial y}=-2y$

Answer

The first order partial derivatives are

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