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Beliebt Rechnen >

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

Lösung

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

Lösung

x^{2} + 3 y^{2}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{\partial}{\partial y} (y^{3}) = 3 y^{2}

= x^{2} + 3 y^{2}

Beliebte Beispiele

integral from 0 to 1 of r^3

\int_{0}^{1} r^{3} d r

integral of sin(x)e^{2x}

\int sin (x) e^{2 x} d x

tangent f(x)=sqrt(x),(25,5)

t an g e n t f (x) = x, (25, 5)

derivative of (x+7/(sqrt(x)))

\frac{d}{d x} (\frac{x + 7}{x})

integral of 1/(sqrt(1-x^2)arcsin(x))

\int \frac{1}{1 - x ^{2} arcsin ( x )} d x