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

The first derivative of-8x^2 is -16x

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derivative of-8x^2

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

- 16 x

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= - 16 x

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