What is the derivative of (-x^2/8) ?

The derivative of (-x^2/8) is -x/4

What is the first derivative of (-x^2/8) ?

The first derivative of (-x^2/8) is -x/4

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\frac{d}{d x} (\frac{- x ^{2}}{8})

- \frac{x}{4}

Solution steps

\frac{d}{d x} (\frac{- x ^{2}}{8})

Simplify

\frac{- x ^{2}}{8} : - \frac{x ^{2}}{8}

= \frac{d}{d x} (- \frac{x ^{2}}{8})

Take the constant out:

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

= - \frac{1}{8} \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= - \frac{1}{8} \cdot 2 x^{2 - 1}

Simplify

- \frac{1}{8} \cdot 2 x^{2 - 1} : - \frac{x}{4}

= - \frac{x}{4}

\int \frac{1}{( c ^{2} + x ^{2} )} d x

\frac{d}{d t} (2 e^{t})

\int \frac{11 x ^{2}}{( 64 + x ^{2} ) ^{2}} d x

\frac{\partial}{\partial y} (- e^{- \frac{y}{x}})

\frac{d y}{d x} + 8 y = 9

What is the derivative of (-x^2/8) ?
The derivative of (-x^2/8) is -x/4
What is the first derivative of (-x^2/8) ?
The first derivative of (-x^2/8) is -x/4