What is the derivative of f(x)=-3x^3 ?

The derivative of f(x)=-3x^3 is -9x^2

What is the first derivative of f(x)=-3x^3 ?

The first derivative of f(x)=-3x^3 is -9x^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

f (x) = - 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}

What is the derivative of f(x)=-3x^3 ?
The derivative of f(x)=-3x^3 is -9x^2
What is the first derivative of f(x)=-3x^3 ?
The first derivative of f(x)=-3x^3 is -9x^2