What is the first derivative of-3x^2 ?

The first derivative of-3x^2 is -6x

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derivative of-3x^2

derivative of

- 3 x^{2}

- 6 x

Solution steps

\frac{d}{d x} (- 3 x^{2})

Take the constant out:

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

= - 3 \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= - 3 \cdot 2 x^{2 - 1}

Simplify

= - 6 x

\frac{d}{d x} (2 x^{2} - 4 x y + 3 y^{2} + 6 z^{2})

\int \frac{x - 3}{x + 3} d x

\frac{d}{d x} (\frac{1}{2} x^{4} - 4 x^{2} + 4)

y = 6 x

\frac{\partial}{\partial z} (x z - 7 yz + 4)