de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative 1/((4x+1)^4)

Lösung

ableitung von

\frac{1}{( 4 x + 1 ) ^{4}}

Lösung

- \frac{16}{( 4 x + 1 ) ^{5}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{( 4 x + 1 ) ^{4}})

Wende Exponentenregel an:

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

= \frac{d}{d x} ((4 x + 1)^{- 4})

Wende die Kettenregel an:

- \frac{4}{( 4 x + 1 ) ^{5}} \frac{d}{d x} (4 x + 1)

= - \frac{4}{( 4 x + 1 ) ^{5}} \frac{d}{d x} (4 x + 1)

\frac{d}{d x} (4 x + 1) = 4

= - \frac{4}{( 4 x + 1 ) ^{5}} \cdot 4

Vereinfache

- \frac{4}{( 4 x + 1 ) ^{5}} \cdot 4 : - \frac{16}{( 4 x + 1 ) ^{5}}

= - \frac{16}{( 4 x + 1 ) ^{5}}

Graph

Beliebte Beispiele

limit as x approaches 3-of (x-2)/(x^2-9)

derivative of arccsc(-3x)

derivative of arctan(t/x)

derivative of (2x-4/(3e^x))

limit as x approaches 3 of 1/((x^2-9))