What is (\partial)/(\partial x)(sqrt(9-x)) ?

The answer to (\partial)/(\partial x)(sqrt(9-x)) is -1/(2sqrt(9-x))

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(\partial)/(\partial x)(sqrt(9-x))

\frac{\partial}{\partial x} (9 - x)

- \frac{1}{2 9 - x}

Solution steps

\frac{\partial}{\partial x} (9 - x)

Apply the chain rule:

\frac{1}{2 9 - x} \frac{\partial}{\partial x} (9 - x)

= \frac{1}{2 9 - x} \frac{\partial}{\partial x} (9 - x)

\frac{\partial}{\partial x} (9 - x) = - 1

= \frac{1}{2 9 - x} (- 1)

Simplify

= - \frac{1}{2 9 - x}

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What is (\partial)/(\partial x)(sqrt(9-x)) ?
The answer to (\partial)/(\partial x)(sqrt(9-x)) is -1/(2sqrt(9-x))