What is the first derivative of-x/4 ?

The first derivative of-x/4 is -1/4

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derivative of-x/4

\frac{d}{d x} (- \frac{x}{4})

- \frac{1}{4}

Solution steps

\frac{d}{d x} (- \frac{x}{4})

Take the constant out:

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

= - \frac{1}{4} \frac{d x}{d x}

Apply the common derivative:

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

= - \frac{1}{4} \cdot 1

Simplify

= - \frac{1}{4}

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