What is the derivative of-12x^2 ?

The derivative of-12x^2 is -24x

What is the first derivative of-12x^2 ?

The first derivative of-12x^2 is -24x

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\frac{d}{d x} (- 12 x^{2})

- 24 x

Solution steps

\frac{d}{d x} (- 12 x^{2})

Take the constant out:

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

= - 12 \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= - 12 \cdot 2 x^{2 - 1}

Simplify

= - 24 x

\int - 4 \cdot sin (2 x) + 3 \cdot cos (3 x) d x

\frac{d ^{2} y}{d x ^{2}} = \frac{d y}{d x}

n = 1 \sum \infty \frac{( - 1 ) ^{n - 1}}{n !}

\frac{x ^{2} - 3 x}{2}

ln (x + x^{2} + 1)