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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

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

- \frac{3}{2 x ^{\frac{3}{2}}}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

3 (- \frac{1}{2} x^{- \frac{1}{2} - 1}) : - \frac{3}{2 x ^{\frac{3}{2}}}

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

\frac{d}{d x} ((7 arcsin (4 x))^{x})

\frac{\partial}{\partial x} (\frac{z x - y}{x})

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

\int_{0}^{2} r^{3} d r

\int_{0}^{\infty} sin (7 x) d x

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