What is the first derivative of-x^3 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of-x^3

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

- 3 x^{2}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

= - 3 x^{3 - 1}

Simplify

= - 3 x^{2}

\int cot (5 x) d x

- \frac{12}{s ^{2} - 5}

\int 17 θ sec^{2} (θ) d θ

y = e^{c x}

\int_{0}^{4} (5 - x) x d x