What is the first derivative of-x/3 ?

The first derivative of-x/3 is -1/3

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derivative of-x/3

derivative of

- \frac{x}{3}

- \frac{1}{3}

Solution steps

\frac{d}{d x} (- \frac{x}{3})

Take the constant out:

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

= - \frac{1}{3} \frac{d x}{d x}

Apply the common derivative:

\frac{d x}{d x} = 1

= - \frac{1}{3} \cdot 1

Simplify

= - \frac{1}{3}

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