What is (\partial)/(\partial x)(7/x) ?

The answer to (\partial)/(\partial x)(7/x) is -7/(x^2)

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(\partial)/(\partial x)(7/x)

\frac{\partial}{\partial x} (\frac{7}{x})

- \frac{7}{x ^{2}}

Solution steps

\frac{\partial}{\partial x} (\frac{7}{x})

Take the constant out:

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

= 7 \frac{\partial}{\partial x} (\frac{1}{x})

Apply exponent rule:

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

= 7 \frac{\partial}{\partial x} (x^{- 1})

Apply the Power Rule:

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

= 7 (- 1 \cdot x^{- 1 - 1})

Simplify

7 (- 1 \cdot x^{- 1 - 1}) : - \frac{7}{x ^{2}}

= - \frac{7}{x ^{2}}

x \to 4 + lim (\frac{x + 1}{x - 4})

\frac{\partial}{\partial y} (3 x^{2} y^{2} + 2)

n = 1 \sum \infty \frac{n}{( n ^{3} + 1 )}

x^{2} + 2 x + 3

x \to 2 lim ((x + 3)^{5 x})

What is (\partial)/(\partial x)(7/x) ?
The answer to (\partial)/(\partial x)(7/x) is -7/(x^2)