de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

implicit (dy)/(dx),x^2+5x+9xy-y^2=4

Lösung

implizite ableitung

\frac{d y}{d x}, x^{2} + 5 x + 9 x y - y^{2} = 4

Lösung

\frac{d y}{d x} = \frac{- 2 x - 5 - 9 y}{9 x - 2 y}

Schritte zur Lösung

x^{2} + 5 x + 9 x y - y^{2} = 4

Behandle

y

wie

y (x)

Beide Seiten differenzieren:

2 x + 5 + 9 (y + x \frac{d y}{d x}) - 2 y \frac{d y}{d x} = 0

Isoliere

\frac{d y}{d x} : \frac{d y}{d x} = \frac{- 2 x - 5 - 9 y}{9 x - 2 y}

\frac{d y}{d x} = \frac{- 2 x - 5 - 9 y}{9 x - 2 y}

Beliebte Beispiele

1 + 6 x^{\frac{3}{2}}

integral of 1/(3+sqrt(x+2))

\int \frac{1}{3 + x + 2} d x

y^{''}-2y^'-3y=64xe^{-x}

y^{^{''}} - 2 y^{^{'}} - 3 y = 64 x e^{- x}

integral from 0 to a of (m/(2pi(a-x)))^5

\int_{0}^{a} (\frac{m}{2 π ( a - x )})^{5} d x

fläche y=3x^4-3x^2,y=3x^2

a re a y = 3 x^{4} - 3 x^{2}, y = 3 x^{2}