de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

d/(dy)(sqrt(y^2-1))

Lösung

\frac{d}{d y} (y^{2} - 1)

Lösung

\frac{y}{y ^{2} - 1}

Schritte zur Lösung

\frac{d}{d y} (y^{2} - 1)

Wende die Kettenregel an:

\frac{1}{2 y ^{2} - 1} \frac{d}{d y} (y^{2} - 1)

= \frac{1}{2 y ^{2} - 1} \frac{d}{d y} (y^{2} - 1)

\frac{d}{d y} (y^{2} - 1) = 2 y

= \frac{1}{2 y ^{2} - 1} \cdot 2 y

Vereinfache

\frac{1}{2 y ^{2} - 1} \cdot 2 y : \frac{y}{y ^{2} - 1}

= \frac{y}{y ^{2} - 1}

Graph

Beliebte Beispiele

integral of 1/(x^2sqrt(x^2-13))

\int \frac{1}{x ^{2} x ^{2} - 13} d x

(dy)/(dx)=14xe^6x(36+y^2)

\frac{d y}{d x} = 14 x e^{6} x (36 + y^{2})

integral of 9sin^6(x)

\int 9 sin^{6} (x) d x

y^{^{'}} + y^{3} x + 9 y = 0

integral of x^5+8x^{-3}+2

\int x^{5} + 8 x^{- 3} + 2 d x