de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 3/(sqrt(x-2))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende Exponentenregel an:

\frac{1}{a} = a^{- 1}

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

integral from 1 to 4 of (3x^2+sqrt(x))

\int_{1}^{4} (3 x^{2} + x) d x

(\partial)/(\partial x)(cos(xz)+sin(yz)-z)

\frac{\partial}{\partial x} (cos (x z) + sin (yz) - z)

integral of 5/y

\int \frac{5}{y} d y

derivative \sqrt[9]{1+tan(x)}

d er i v a t i v e 9 1 + tan (x)

derivative of 5cos(3x)

\frac{d}{d x} (5 cos (3 x))