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Beliebt Rechnen >

(dy)/(dx)=2xsqrt(x-7)

Lösung

\frac{d y}{d x} = 2 x x - 7

Lösung

y = 2 (\frac{2}{5} (x - 7)^{\frac{5}{2}} + \frac{14}{3} (x - 7)^{\frac{3}{2}}) + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = 2 x x - 7

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = 2 x x - 7

Wenn

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

dann

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

y = \int 2 x x - 7 d x

\int 2 x x - 7 d x = 2 (\frac{2}{5} (x - 7)^{\frac{5}{2}} + \frac{14}{3} (x - 7)^{\frac{3}{2}}) + c_{1}

y = 2 (\frac{2}{5} (x - 7)^{\frac{5}{2}} + \frac{14}{3} (x - 7)^{\frac{3}{2}}) + c_{1}

Graph

Beliebte Beispiele

limit as x approaches-2 of (3x)/(x+2)

x \to - 2 lim (\frac{3 x}{x + 2})

integral of 5x^{3/7}

\int 5 x^{\frac{3}{7}} d x

derivative of arccosh(sec(x))

\frac{d}{d x} (arccosh (sec (x)))

steigung (13,0),(-2,-12)

s l o p e (13, 0), (- 2, - 12)

integral from 1 to 6 of xln(x)

\int_{1}^{6} x ln (x) d x