What is the derivative of-9x^3 ?

The derivative of-9x^3 is -27x^2

What is the first derivative of-9x^3 ?

The first derivative of-9x^3 is -27x^2

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derivative of

- 9 x^{3}

- 27 x^{2}

Solution steps

\frac{d}{d x} (- 9 x^{3})

Take the constant out:

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

= - 9 \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= - 9 \cdot 3 x^{3 - 1}

Simplify

= - 27 x^{2}

\frac{\partial}{\partial x} (sin (y e^{10 x}))

x \to - 2 lim (12 x + 11)

\frac{12}{x}

(- 3 x^{2} - 2)^{4}

\frac{x - cos ( x )}{x ^{2} + cot ( x )}