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Beliebt Rechnen >

6x^2+(x^3+2) derivative of y=0

Lösung

6 x^{2} + (x^{3} + 2) \frac{d}{d x} y = 0

Lösung

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

Schritte zur Lösung

6 x^{2} + (x^{3} + 2) \frac{d y}{d x} = 0

Isoliere

y^{'} (x) : y^{'} (x) = - \frac{6 x ^{2}}{x ^{3} + 2}

Wenn

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

dann

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

y = \int - \frac{6 x ^{2}}{x ^{3} + 2} d x

\int - \frac{6 x ^{2}}{x ^{3} + 2} d x = - 2 ln (x^{3} + 2) + c_{1}

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

Graph

Beliebte Beispiele

derivative of (12/x)

\frac{d}{d x} (\frac{12}{x})

integral of (sqrt(3-x))(x)

\int (3 - x) (x) d x

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\int x x + 14 d x

derivative of mx^{m+5}+6x^my^n+nx^{n+3}

\frac{d}{d x} (m x^{m + 5} + 6 x^{m} y^{n} + n x^{n + 3})

integral of ln(x)(x^2)

\int ln (x) (x^{2}) d x