What is (\partial)/(\partial x)(sqrt(8-x^2)) ?

The answer to (\partial)/(\partial x)(sqrt(8-x^2)) is -x/(sqrt(8-x^2))

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(\partial)/(\partial x)(sqrt(8-x^2))

\frac{\partial}{\partial x} (8 - x^{2})

- \frac{x}{8 - x ^{2}}

Solution steps

\frac{\partial}{\partial x} (8 - x^{2})

Apply the chain rule:

\frac{1}{2 8 - x ^{2}} \frac{\partial}{\partial x} (8 - x^{2})

= \frac{1}{2 8 - x ^{2}} \frac{\partial}{\partial x} (8 - x^{2})

\frac{\partial}{\partial x} (8 - x^{2}) = - 2 x

= \frac{1}{2 8 - x ^{2}} (- 2 x)

Simplify

\frac{1}{2 8 - x ^{2}} (- 2 x) : - \frac{x}{8 - x ^{2}}

= - \frac{x}{8 - x ^{2}}

\int_{1}^{100} \frac{21}{x ^{3}} d x

ln (x + x^{2} - 7)

2 y^{^{''}} - 6 y^{^{'}} + 5 y = 0

\int cot (15 x) d x

\frac{\partial}{\partial s} (s^{2} + t^{2})

What is (\partial)/(\partial x)(sqrt(8-x^2)) ?
The answer to (\partial)/(\partial x)(sqrt(8-x^2)) is -x/(sqrt(8-x^2))