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

The answer to (\partial)/(\partial x)(x/r) is 1/r

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(\partial)/(\partial x)(x/r)

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

\frac{1}{r}

Solution steps

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

Treat

r

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= \frac{1}{r} \cdot 1

Simplify

= \frac{1}{r}

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What is (\partial)/(\partial x)(x/r) ?
The answer to (\partial)/(\partial x)(x/r) is 1/r