de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

Graph

Beliebte Beispiele

derivative of (x^3+2/(cos(x)))

\frac{d}{d x} (\frac{x ^{3} + 2}{cos ( x )})

derivative of arcsin(x^3y)

\frac{d}{d x} (arcsin (x^{3} y))

integral of e^{2x}

\int e^{2 x} d x

integral from 1 to e^2 of 3/x

\int_{1}^{e^{2}} \frac{3}{x} d x

integral of 1/((2x+5)^2)

\int \frac{1}{( 2 x + 5 ) ^{2}} d x