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Beliebt Rechnen >

derivative of (dy/(dx))=4x

Lösung

\frac{d}{d x} (\frac{d y}{d x}) = 4 x

Lösung

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

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} = 4 x

Löse

y^{''} (x) = 4 x : y^{'} (x) = 2 x^{2} + c_{1}

Löse

y^{'} (x) = 2 x^{2} + c_{1} : y = \frac{2 x ^{3}}{3} + c_{1} x + c_{2}

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

Graph

Beliebte Beispiele

tangent f(x)=-3e^{-2x}+3

t an g e n t f (x) = - 3 e^{- 2 x} + 3

integral of 1/((x^2+2)^{5/2)}

\int \frac{1}{( x ^{2} + 2 ) ^{\frac{5}{2}}} d x

integral of (u-1)/(u^2)

\int \frac{u - 1}{u ^{2}} d u

integral from 0 to infinity of xe^{-x^2}

\int_{0}^{\infty} x e^{- x^{2}} d x

(\partial)/(\partial y)(1/(x-y))

\frac{\partial}{\partial y} (\frac{1}{x - y})