What is the derivative of (x^2/4) ?

The derivative of (x^2/4) is x/2

What is the first derivative of (x^2/4) ?

The first derivative of (x^2/4) is x/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (\frac{x ^{2}}{4})

\frac{x}{2}

Solution steps

\frac{d}{d x} (\frac{x ^{2}}{4})

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

= \frac{x}{2}

What is the derivative of (x^2/4) ?
The derivative of (x^2/4) is x/2
What is the first derivative of (x^2/4) ?
The first derivative of (x^2/4) is x/2