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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{2 x}{y ^{2} + x ^{2}}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

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

= \frac{1}{y ^{2} + x ^{2}} \cdot 2 x

Vereinfache

\frac{1}{y ^{2} + x ^{2}} \cdot 2 x : \frac{2 x}{y ^{2} + x ^{2}}

= \frac{2 x}{y ^{2} + x ^{2}}

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