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Beliebt Rechnen >

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

Lösung

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

Lösung

sec^{2} (x^{2} + y^{2}) \cdot 2 y

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

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

= sec^{2} (x^{2} + y^{2}) \cdot 2 y

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