(\partial)/(\partial y)(ln(x^3+1)+y^2)

Lösung

\frac{\partial}{\partial y} (ln (x^{3} + 1) + y^{2})

2 y

Schritte zur Lösung

\frac{\partial}{\partial y} (ln (x^{3} + 1) + y^{2})

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (ln (x^{3} + 1)) + \frac{\partial}{\partial y} (y^{2})

\frac{\partial}{\partial y} (ln (x^{3} + 1)) = 0

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

= 0 + 2 y

Vereinfache

= 2 y