What is the derivative of (t^3)/6 ?

The derivative of (t^3)/6 is (t^2)/2

What is the first derivative of (t^3)/6 ?

The first derivative of (t^3)/6 is (t^2)/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

\frac{t ^{3}}{6}

\frac{t ^{2}}{2}

Solution steps

\frac{d}{d t} (\frac{t ^{3}}{6})

Take the constant out:

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

= \frac{1}{6} \frac{d}{d t} (t^{3})

Apply the Power Rule:

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

= \frac{1}{6} \cdot 3 t^{3 - 1}

Simplify

\frac{1}{6} \cdot 3 t^{3 - 1} : \frac{t ^{2}}{2}

= \frac{t ^{2}}{2}

\frac{1}{x ^{2} + y ^{2}}

y = x^{5} + x^{3} - x + 10

4 x^{2} - 5 x - 1

\frac{11}{x ^{4}}

\frac{x}{( x + y ) ^{2}}

What is the derivative of (t^3)/6 ?
The derivative of (t^3)/6 is (t^2)/2
What is the first derivative of (t^3)/6 ?
The first derivative of (t^3)/6 is (t^2)/2