What is the derivative of-3x^3 ?

The derivative of-3x^3 is -9x^2

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

The first derivative of-3x^3 is -9x^2

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derivative of

- 3 x^{3}

- 9 x^{2}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= - 9 x^{2}

x \to 0 lim (x^{2} - 1)

\int (3 x^{2} + 9)^{2} d x

f (r) = 4 π r^{2}

- 3 x^{\frac{1}{2}} + x^{\frac{3}{2}}, at x = 9

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