What is (\partial)/(\partial x)(2/x) ?

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

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(\partial)/(\partial x)(2/x)

\frac{\partial}{\partial x} (\frac{2}{x})

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

Solution steps

\frac{\partial}{\partial x} (\frac{2}{x})

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

= 2 (- 1 \cdot x^{- 1 - 1})

Simplify

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

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

\int \frac{x ^{4}}{1 - x ^{10}} d x

x \to \infty lim (e x)

\int_{1}^{2} \frac{2}{x ^{3} + 4 x} d x

\frac{\partial}{\partial y} (x^{2} \cdot y^{2})

y^{^{''}} - 7 y^{^{'}} - 18 y = 0

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