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

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

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

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

\frac{1}{a}

Solution steps

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

Take the constant out:

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

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

Apply the common derivative:

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

= \frac{1}{a} \cdot 1

Simplify

= \frac{1}{a}

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