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Beliebt Rechnen >

(\partial)/(\partial x)(5x^2-3xy+xyz)

Lösung

\frac{\partial}{\partial x} (5 x^{2} - 3 x y + x yz)

Lösung

10 x - 3 y + yz

Schritte zur Lösung

\frac{\partial}{\partial x} (5 x^{2} - 3 x y + x yz)

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (5 x^{2}) - \frac{\partial}{\partial x} (3 x y) + \frac{\partial}{\partial x} (x yz)

\frac{\partial}{\partial x} (5 x^{2}) = 10 x

\frac{\partial}{\partial x} (3 x y) = 3 y

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

= 10 x - 3 y + yz

Beliebte Beispiele

s l o p e - 2 t^{3}

integral of x/(sqrt(x^2-2x))

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

limit as x approaches 0 of x^2sin(x)

x \to 0 lim (x^{2} sin (x))

integral of-5sin(5t)

\int - 5 sin (5 t) d t

d er i v a t i v e y^{3}