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Beliebt Rechnen >

(\partial ^2)/(\partial x\partial y)((1+2xy^2)^3)

Lösung

\frac{\partial ^{2}}{\partial x \partial y} ((1 + 2 x y^{2})^{3})

Lösung

6 (24 x^{2} y^{5} + 16 x y^{3} + 2 y)

Schritte zur Lösung

\frac{\partial ^{2}}{\partial x \partial y} ((1 + 2 x y^{2})^{3})

\frac{\partial}{\partial x} ((1 + 2 x y^{2})^{3}) = 6 y^{2} (1 + 2 x y^{2})^{2}

= \frac{\partial}{\partial y} (6 y^{2} (1 + 2 x y^{2})^{2})

\frac{\partial}{\partial y} (6 y^{2} (1 + 2 x y^{2})^{2}) = 6 (24 x^{2} y^{5} + 16 x y^{3} + 2 y)

= 6 (24 x^{2} y^{5} + 16 x y^{3} + 2 y)

Beliebte Beispiele

sum from n=1 to infinity of 4(2.1)^{n-1}

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