What is the first derivative of-6x^2 ?

The first derivative of-6x^2 is -12x

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derivative of-6x^2

\frac{d}{d x} (- 6 x^{2})

- 12 x

Solution steps

\frac{d}{d x} (- 6 x^{2})

Take the constant out:

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

= - 6 \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= - 6 \cdot 2 x^{2 - 1}

Simplify

= - 12 x

y^{^{'}} = (y + 5) (x + 2), y (0) = 1

\frac{10}{( s ) ( s ^{2} + 8 s + 25 )}

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