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Beliebt Rechnen >

6x+(dy)/(dx)=0

Lösung

6 x + \frac{d y}{d x} = 0

Lösung

y = - 3 x^{2} + c_{1}

Schritte zur Lösung

6 x + \frac{d y}{d x} = 0

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

6 x + y^{^{'}} (x) = 0

Isoliere

y^{'} (x) : y^{'} (x) = - 6 x

Wenn

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

dann

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

y = \int - 6 x d x

\int - 6 x d x = - 3 x^{2} + c_{1}

y = - 3 x^{2} + c_{1}

Graph

Beliebte Beispiele

derivative of 1/({f(x)})

\frac{d}{d x} (\frac{1}{f ( x )})

integral from 1 to-1 of (x-1)(3x+2)

\int_{1}^{- 1} (x - 1) (3 x + 2) d x

integral from 10 to 13 of 2x

\int_{10}^{13} 2 x d x

derivative y=4x-3x^2

d er i v a t i v e y = 4 x - 3 x^{2}

limit as x approaches infinity of (4^x)/(3^{x-1)}

x \to \infty lim (\frac{4 ^{x}}{3 ^{x - 1}})