de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(dy)/(dx)=(3x-9)/(2x+8)

Lösung

\frac{d y}{d x} = \frac{3 x - 9}{2 x + 8}

Lösung

y = \frac{3}{2} (x - 7 ln (2 (x + 4)) + 4) + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = \frac{3 x - 9}{2 x + 8}

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = \frac{3 x - 9}{2 x + 8}

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

y = \int \frac{3 x - 9}{2 x + 8} d x

\int \frac{3 x - 9}{2 x + 8} d x = \frac{3}{2} (x - 7 ln (2 (x + 4)) + 4) + c_{1}

y = \frac{3}{2} (x - 7 ln (2 (x + 4)) + 4) + c_{1}

Graph

Beliebte Beispiele

limit as x approaches 0 of (1-e^{-2x})/x

x \to 0 lim (\frac{1 - e ^{- 2 x}}{x})

(dy)/(dx)=2+e^{-2x+y+1}

\frac{d y}{d x} = 2 + e^{- 2 x + y + 1}

tangent y=2x-3x^2

t an g e n t y = 2 x - 3 x^{2}

derivative of cos^3(5x)

\frac{d}{d x} (cos^{3} (5 x))

integral from 0 to 1 of (2t)/((2-t)^2)

\int_{0}^{1} \frac{2 t}{( 2 - t ) ^{2}} d t