de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

d/(dy)(A/(y^{11)}+Be^y)

Lösung

\frac{d}{d y} (\frac{A}{y ^{11}} + B e^{y})

Lösung

- \frac{11 A}{y ^{12}} + B e^{y}

Schritte zur Lösung

\frac{d}{d y} (\frac{A}{y ^{11}} + B e^{y})

Behandle

A, B

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d y} (\frac{A}{y ^{11}}) + \frac{d}{d y} (B e^{y})

\frac{d}{d y} (\frac{A}{y ^{11}}) = - \frac{11 A}{y ^{12}}

\frac{d}{d y} (B e^{y}) = B e^{y}

= - \frac{11 A}{y ^{12}} + B e^{y}

Beliebte Beispiele

integral of (2x^3-5x^2+x-6)/x

\int \frac{2 x ^{3} - 5 x ^{2} + x - 6}{x} d x

limit as x approaches 0 of (16)/(x^4)

x \to 0 lim (\frac{16}{x ^{4}})

derivative (e^y+e^{-y})/2

d er i v a t i v e \frac{e ^{y} + e ^{- y}}{2}

integral of e^{y^2}

\int e^{y^{2}} d y

integral of (10)/(sqrt(8x-4x^2))

\int \frac{10}{8 x - 4 x ^{2}} d x