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Beliebt Rechnen >

(dy)/(dt)=3t^2

Lösung

\frac{d y}{d t} = 3 t^{2}

Lösung

y = t^{3} + c_{1}

Schritte zur Lösung

\frac{d y}{d t} = 3 t^{2}

Ersetze

\frac{d y}{d t}

mit

y^{'} (t)

y^{^{'}} (t) = 3 t^{2}

Wenn

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

dann

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

y = \int 3 t^{2} d t

\int 3 t^{2} d t = t^{3} + c_{1}

y = t^{3} + c_{1}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(x^7y^6+4x^6y)

\frac{\partial}{\partial x} (x^{7} y^{6} + 4 x^{6} y)

integral of 8x^{1/2}

\int 8 x^{\frac{1}{2}} d x

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

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

tangent y=3tan(x),\at x= pi/6

t an g e n t y = 3 tan (x), at x = \frac{π}{6}

integral of 8^3sqrt(x)

\int 8^{3} x d x