(\partial)/(\partial x)((xy+yz+xz)^2)

Lösung

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

2 (x y + yz + x z) (y + z)

Schritte zur Lösung

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

Behandle

y, z

als Konstanten

Wende die Kettenregel an:

2 (x y + yz + x z) \frac{\partial}{\partial x} (x y + yz + x z)

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

\frac{\partial}{\partial x} (x y + yz + x z) = y + z

= 2 (x y + yz + x z) (y + z)

\int_{0}^{\frac{π}{30}} tan (15 x) d x

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

\frac{d}{d z} (z^{2})

\int x^{3} a x^{4} + b d x

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