de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative y=\sqrt[9]{x^8}-x^pi

Lösung

ableitung von

y = 9 x^{8} - x^{π}

Lösung

\frac{8 x ^{7}}{9 ( x ^{8} ) ^{\frac{8}{9}}} - π x^{π - 1}

Schritte zur Lösung

\frac{d}{d x} (9 x^{8} - x^{π})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (9 x^{8}) - \frac{d}{d x} (x^{π})

\frac{d}{d x} (9 x^{8}) = \frac{8 x ^{7}}{9 ( x ^{8} ) ^{\frac{8}{9}}}

\frac{d}{d x} (x^{π}) = π x^{π - 1}

= \frac{8 x ^{7}}{9 ( x ^{8} ) ^{\frac{8}{9}}} - π x^{π - 1}

Graph

Beliebte Beispiele

integral of x^2sqrt(x^2-81)

\int x^{2} x^{2} - 81 d x

integral of 6/(x(x^2+25))

\int \frac{6}{x ( x ^{2} + 25 )} d x

derivative of sqrt(x^2-x+4)

\frac{d}{d x} (x^{2} - x + 4)

integral of (e^x)/(e^x+5)

\int \frac{e ^{x}}{e ^{x} + 5} d x

integral of x^{13}cos(x^7)

\int x^{13} cos (x^{7}) d x