What is the derivative of (3x^{1/2}/2) ?

The derivative of (3x^{1/2}/2) is 3/(4x^{1/2)}

What is the first derivative of (3x^{1/2}/2) ?

The first derivative of (3x^{1/2}/2) is 3/(4x^{1/2)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (\frac{3 x ^{\frac{1}{2}}}{2})

\frac{3}{4 x ^{\frac{1}{2}}}

Solution steps

\frac{d}{d x} (\frac{3 x ^{\frac{1}{2}}}{2})

Take the constant out:

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

= \frac{3}{2} \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= \frac{3}{2} \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

\frac{3}{2} \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{3}{4 x ^{\frac{1}{2}}}

= \frac{3}{4 x ^{\frac{1}{2}}}

\int x (e^{- 5 x}) d x

y = ln (7 x)

\int x 49 - x d x

n = 0 \sum \infty 5

\int \frac{1}{( x - 2 ) ( x - 4 )} d x

What is the derivative of (3x^{1/2}/2) ?
The derivative of (3x^{1/2}/2) is 3/(4x^{1/2)}
What is the first derivative of (3x^{1/2}/2) ?
The first derivative of (3x^{1/2}/2) is 3/(4x^{1/2)}