What is the derivative of 4sqrt(t) ?

The derivative of 4sqrt(t) is 2/(sqrt(t))

What is the first derivative of 4sqrt(t) ?

The first derivative of 4sqrt(t) is 2/(sqrt(t))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

4 t

\frac{2}{t}

Solution steps

\frac{d}{d t} (4 t)

Take the constant out:

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

= 4 \frac{d}{d t} (t)

Apply radical rule:

a = a^{\frac{1}{2}}

= 4 \frac{d}{d t} (t^{\frac{1}{2}})

Apply the Power Rule:

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

= 4 \cdot \frac{1}{2} t^{\frac{1}{2} - 1}

Simplify

4 \cdot \frac{1}{2} t^{\frac{1}{2} - 1} : \frac{2}{t}

= \frac{2}{t}

What is the derivative of 4sqrt(t) ?
The derivative of 4sqrt(t) is 2/(sqrt(t))
What is the first derivative of 4sqrt(t) ?
The first derivative of 4sqrt(t) is 2/(sqrt(t))