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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Simplify

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

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

\int y^{\frac{1}{7}} d y

\frac{d}{d θ} (\frac{2}{sin ( θ )})

\frac{d y}{d x} = - \frac{y ^{2}}{1 + y ^{2}} e^{- x}, y (0) = 1

\int (x + 1) (x + 3)^{2} d x

\frac{d}{d x} (\frac{32}{x})

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