de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(dy)/(dx)=xsqrt(x-9)

Lösung

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

Lösung

y = \frac{2}{5} (x - 9)^{\frac{5}{2}} + 6 (x - 9)^{\frac{3}{2}} + c_{1}

Schritte zur Lösung

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

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = x x - 9

Wenn

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

dann

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

y = \int x x - 9 d x

\int x x - 9 d x = \frac{2}{5} (x - 9)^{\frac{5}{2}} + 6 (x - 9)^{\frac{3}{2}} + c_{1}

y = \frac{2}{5} (x - 9)^{\frac{5}{2}} + 6 (x - 9)^{\frac{3}{2}} + c_{1}

Graph

Beliebte Beispiele

fläche y=sqrt(3-x),y=-sqrt(3-x),y=x-1

a re a y = 3 - x, y = - 3 - x, y = x - 1

limit as x approaches 1 of 4x^2-7x+5

x \to 1 lim (4 x^{2} - 7 x + 5)

integral of e^xcos(5x)

\int e^{x} cos (5 x) d x

-60=(d^2y)/(dx^2)

- 60 = \frac{d ^{2} y}{d x ^{2}}

derivative f(x)=4e^{0.5x}

d er i v a t i v e f (x) = 4 e^{0.5 x}