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

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

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(\partial)/(\partial x)(m/x)

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

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

Solution steps

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

Treat

m

as a constant

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

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

\int \frac{1}{( x + 1 ) ^{2}} d x

t an g e n t f (x) = \frac{9}{8 - x}

t an g e n t - 3 x^{\frac{3}{2}} - 1, at x = 4

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

d er i v a t i v e f (x) = 2 x^{2} - 3 x + 4

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