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Beliebt Rechnen >

(\partial)/(\partial y)(ln(x^4+y)-z)

Lösung

\frac{\partial}{\partial y} (ln (x^{4} + y) - z)

Lösung

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

Schritte zur Lösung

\frac{\partial}{\partial y} (ln (x^{4} + y) - z)

Behandle

x, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (ln (x^{4} + y)) - \frac{\partial}{\partial y} (z)

\frac{\partial}{\partial y} (ln (x^{4} + y)) = \frac{1}{x ^{4} + y}

\frac{\partial}{\partial y} (z) = 0

= \frac{1}{x ^{4} + y} - 0

Vereinfache

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

Beliebte Beispiele

d/(dy)(ln(x-2y))

d/(d{r)}(pi{r}^2)

derivative of ln(ln(9x))

integral from 0 to 9 of 2piy(3-y/3)

derivative of-(5e^{5/x}/(x^2))