(\partial)/(\partial x)(xz+yz)

Lösung

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

z

Schritte zur Lösung

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

Behandle

z, y

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (x z) = z

\frac{\partial}{\partial x} (yz) = 0

= z + 0

Vereinfache

= z

\frac{d}{d x} (2 x^{2} + 8 x)

y^{^{'}} = - \frac{1}{x} y^{2} - \frac{1}{x} y

\frac{\partial}{\partial x} (y - 4 x^{2} y^{- 2})

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

\int_{0}^{l n (x)} sin (e^{t}) d t