de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative y=(x^5+1)^8

Lösung

ableitung von

y = (x^{5} + 1)^{8}

Lösung

40 x^{4} (x^{5} + 1)^{7}

Schritte zur Lösung

\frac{d}{d x} ((x^{5} + 1)^{8})

Wende die Kettenregel an:

8 (x^{5} + 1)^{7} \frac{d}{d x} (x^{5} + 1)

= 8 (x^{5} + 1)^{7} \frac{d}{d x} (x^{5} + 1)

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

= 8 (x^{5} + 1)^{7} \cdot 5 x^{4}

Vereinfache

= 40 x^{4} (x^{5} + 1)^{7}

Graph

Beliebte Beispiele

integral of 2x+2x^{-2}

\int 2 x + 2 x^{- 2} d x

integral of x/(6+pi)

\int \frac{x}{6 + π} d x

derivative of (x^2*ln(x))

\frac{d}{d x} ((x^{2}) \cdot ln (x))

derivative f(x)=(x^2)/(9+2x)

d er i v a t i v e f (x) = \frac{x ^{2}}{9 + 2 x}

integral from 0 to 1 of pi(x-x^{10})

\int_{0}^{1} π (x - x^{10}) d x