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Beliebt Rechnen >

(\partial)/(\partial x)(6xy^3z^3+7xyz)

Lösung

\frac{\partial}{\partial x} (6 x y^{3} z^{3} + 7 x yz)

Lösung

6 y^{3} z^{3} + 7 yz

Schritte zur Lösung

\frac{\partial}{\partial x} (6 x y^{3} z^{3} + 7 x yz)

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (6 x y^{3} z^{3}) + \frac{\partial}{\partial x} (7 x yz)

\frac{\partial}{\partial x} (6 x y^{3} z^{3}) = 6 y^{3} z^{3}

\frac{\partial}{\partial x} (7 x yz) = 7 yz

= 6 y^{3} z^{3} + 7 yz

Beliebte Beispiele

(dy)/(dx)=0.75y

\frac{d y}{d x} = 0.75 y

(dy)/(dx)+6xy^4=0

\frac{d y}{d x} + 6 x y^{4} = 0

(dr}{dθ}=\frac{r^2)/θ ,r(1)=2

\frac{d r}{d θ} = \frac{r ^{2}}{θ}, r (1) = 2

derivative of \sqrt[3]{-e^{-x}}

\frac{d}{d x} (3 - e^{- x})

integral of (x^2)/8

\int \frac{x ^{2}}{8} d x