What is the derivative of 2x^{1/2} ?

The derivative of 2x^{1/2} is 1/(x^{1/2)}

What is the first derivative of 2x^{1/2} ?

The first derivative of 2x^{1/2} is 1/(x^{1/2)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

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

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

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

What is the derivative of 2x^{1/2} ?
The derivative of 2x^{1/2} is 1/(x^{1/2)}
What is the first derivative of 2x^{1/2} ?
The first derivative of 2x^{1/2} is 1/(x^{1/2)}