en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

d/(dt)(2t^3)

Solution

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

Solution

6 t^{2}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 6 t^{2}

Popular Examples

(d^3)/(dx^3)(sqrt(4x+8))

\frac{d ^{3}}{d x ^{3}} (4 x + 8)

derivative of y=(2x^5+6)/(x^3)derivative of

y = \frac{2 x ^{5} + 6}{x ^{3}}

integral from 0 to 5 of sqrt(5x)

\int_{0}^{5} 5 x d x

tangent of y=sqrt(x),(64,8)tangent of

y = x, (64, 8)

inverse oflaplace (12s)/(12s-30s^2)inverse laplace

\frac{12 s}{12 s - 30 s ^{2}}

Frequently Asked Questions (FAQ)

What is the d/(dt)(2t^3) ?
The d/(dt)(2t^3) is 6t^2
What is the first d/(dt)(2t^3) ?
The first d/(dt)(2t^3) is 6t^2