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Beliebt Rechnen >

(\partial)/(\partial x)(3x^2-4xy+xyz)

Lösung

\frac{\partial}{\partial x} (3 x^{2} - 4 x y + x yz)

Lösung

6 x - 4 y + yz

Schritte zur Lösung

\frac{\partial}{\partial x} (3 x^{2} - 4 x y + x yz)

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (3 x^{2}) - \frac{\partial}{\partial x} (4 x y) + \frac{\partial}{\partial x} (x yz)

\frac{\partial}{\partial x} (3 x^{2}) = 6 x

\frac{\partial}{\partial x} (4 x y) = 4 y

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

= 6 x - 4 y + yz

Beliebte Beispiele

y^{^{'}} = x^{2} - 2

integral of (4sqrt(x))/(x-1)

\int \frac{4 x}{x - 1} d x

y^{^{'}} = 5 t y^{2}

derivative 9x^{-2}

d er i v a t i v e 9 x^{- 2}

derivative y= x/(1-ln(x-5))

d er i v a t i v e y = \frac{x}{1 - ln ( x - 5 )}