What is (\partial)/(\partial x)(sqrt(9-x^2)) ?

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

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(\partial)/(\partial x)(sqrt(9-x^2))

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

\frac{1}{2 9 - x ^{2}} (- 2 x) : - \frac{x}{9 - x ^{2}}

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

\frac{d}{d x} (\frac{( 3 x ^{2} )}{2 x + 4})^{3}

x \to 0 lim (\frac{3}{x} + \frac{3}{x ^{2} - x})

\frac{d}{d x} (2 x + sin (x))

\frac{d}{d x} (\frac{x ^{2} cos ( x )}{tan ( x )})

\int (z + 1) e^{z} d z

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