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Beliebt Rechnen >

(\partial)/(\partial y)(ln(x^2+1)+y^2)

Lösung

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

Lösung

2 y

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial y} (ln (x^{2} + 1)) = 0

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

= 0 + 2 y

Vereinfache

= 2 y

Beliebte Beispiele

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limit as x approaches 1 of e^{x^3-x}

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derivative of y+x+x+y+1=0

\frac{d}{d x} (y + x) + x + y + 1 = 0