What is the derivative of-5x^3 ?

The derivative of-5x^3 is -15x^2

What is the first derivative of-5x^3 ?

The first derivative of-5x^3 is -15x^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

- 5 x^{3}

- 15 x^{2}

Solution steps

\frac{d}{d x} (- 5 x^{3})

Take the constant out:

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

= - 5 \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= - 5 \cdot 3 x^{3 - 1}

Simplify

= - 15 x^{2}

y^{^{''}} - 4 y^{^{'}} - 12 y = sin (2 t) + t e^{4 t}

\int - \frac{t}{t ^{2} + 1} d t

\int \frac{2}{1 - 4 x ^{2}} d x

\int_{- \frac{π}{4}}^{\frac{π}{4}} cos (2 x) d x

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