What is (\partial)/(\partial x)(-a/x) ?

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

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(\partial)/(\partial x)(-a/x)

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

\frac{a}{x ^{2}}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply exponent rule:

\frac{1}{a} = a^{- 1}

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= - a (- 1 \cdot x^{- 1 - 1})

Simplify

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

= \frac{a}{x ^{2}}

y = x^{2} - 8 x, (3, - 15)

\int \frac{1}{x ^{3} + 8 x} d x

f (x) = 4 cos (2 x)

n = 0 \sum \infty \frac{4}{n}

y = tan^{2} (x), (\frac{π}{4}, 1)

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