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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{2 y}{y ^{4} + 1}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial y} (2 x) = 0

\frac{\partial}{\partial y} (arctan (y^{2})) = \frac{2 y}{y ^{4} + 1}

= 0 + \frac{2 y}{y ^{4} + 1}

Vereinfache

= \frac{2 y}{y ^{4} + 1}

Beliebte Beispiele

integral of e^{5/2 x}

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