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

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

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

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

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

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

Solution steps

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

Apply the Power Rule:

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

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

Simplify

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

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

y = 3 - x, y = 2 x^{2}, [0, 1]

f (x) = 2 x^{2} + 3 x, (- 2, 2)

\frac{\partial}{\partial x} (x^{3} - 12 x + y^{3} - 27 y)

\int 5 sin (x) - 2 cos (x) d x

\int_{0}^{4} 4 t^{2} + 9 t^{4} d t

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