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Beliebt Rechnen >

y^'=(3x-2)(30x+19)

Lösung

y^{^{'}} = (3 x - 2) (30 x + 19)

Lösung

y = 30 x^{3} - \frac{3 x ^{2}}{2} - 38 x + c_{1}

Schritte zur Lösung

y^{'} (x) = (3 x - 2) (30 x + 19)

Wenn

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

dann

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

y = \int (3 x - 2) (30 x + 19) d x

\int (3 x - 2) (30 x + 19) d x = 30 x^{3} - \frac{3 x ^{2}}{2} - 38 x + c_{1}

y = 30 x^{3} - \frac{3 x ^{2}}{2} - 38 x + c_{1}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(400*sin(x)*cos(x))

\frac{\partial}{\partial x} (400 \cdot sin (x) \cdot cos (x))

(\partial)/(\partial x)(y^2e^{xy^2+z^2})

\frac{\partial}{\partial x} (y^{2} e^{x y^{2} + z^{2}})

y^'=x^2e^{2y},y(-1)=-1

y^{^{'}} = x^{2} e^{2 y}, y (- 1) = - 1

d/(dt)(3cos(t)-2e^{2t})

\frac{d}{d t} (3 cos (t) - 2 e^{2 t})

slopeintercept (-1,0),(0,-2)

s l o p e in t erce pt (- 1, 0), (0, - 2)