What is the derivative of y=2x^3 ?

The derivative of y=2x^3 is 6x^2

What is the first derivative of y=2x^3 ?

The first derivative of y=2x^3 is 6x^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = 2 x^{3}

6 x^{2}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

= 2 \cdot 3 x^{3 - 1}

Simplify

= 6 x^{2}

\frac{d}{d x} (f (x) (x)^{n})

\int \frac{x ^{5} - x ^{3} + 6 x}{x ^{4}} d x

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

\frac{d}{d x} (2 x + \frac{1}{x ^{2}})

s (t) = \frac{5}{4 t}