What is the derivative of (-x^2/4) ?

The derivative of (-x^2/4) is -x/2

What is the first derivative of (-x^2/4) ?

The first derivative of (-x^2/4) is -x/2

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\frac{d}{d x} (\frac{- x ^{2}}{4})

- \frac{x}{2}

Solution steps

\frac{d}{d x} (\frac{- x ^{2}}{4})

Simplify

\frac{- x ^{2}}{4} : - \frac{x ^{2}}{4}

= \frac{d}{d x} (- \frac{x ^{2}}{4})

Take the constant out:

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

= - \frac{1}{4} \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= - \frac{1}{4} \cdot 2 x^{2 - 1}

Simplify

- \frac{1}{4} \cdot 2 x^{2 - 1} : - \frac{x}{2}

= - \frac{x}{2}

What is the derivative of (-x^2/4) ?
The derivative of (-x^2/4) is -x/2
What is the first derivative of (-x^2/4) ?
The first derivative of (-x^2/4) is -x/2