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Beliebt Rechnen >

(\partial)/(\partial x)(x^2-5xy)

Lösung

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

Lösung

2 x - 5 y

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial x} (5 x y) = 5 y

= 2 x - 5 y

Beliebte Beispiele

derivative f(x)=x^{1.7}

limit as x approaches-4 of (x^2+9)/(x+2)

integral of 16e^u

y^{''}-4y^'-x+2=0

derivative of |x^3+2x^2-4x-8|