de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende Exponentenregel an:

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

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

Wende die Kettenregel an:

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

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

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

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

Multipliziere Brüche:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Graph

Beliebte Beispiele

y^{^{'}} = \frac{y - x}{x}

(\partial)/(\partial x)(4x^5y)

\frac{\partial}{\partial x} (4 x^{5} y)

(\partial)/(\partial x)((x^2-1)/(x^2+x+1))

\frac{\partial}{\partial x} (\frac{x ^{2} - 1}{x ^{2} + x + 1})

integral of 2^r

\int 2^{r} d r

derivative f(x)=sqrt(3+x)

d er i v a t i v e f (x) = 3 + x