What is the first derivative of-7x^2 ?

The first derivative of-7x^2 is -14x

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derivative of-7x^2

\frac{d}{d x} (- 7 x^{2})

- 14 x

Solution steps

\frac{d}{d x} (- 7 x^{2})

Take the constant out:

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

= - 7 \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= - 7 \cdot 2 x^{2 - 1}

Simplify

= - 14 x

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