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Beliebt Rechnen >

(\partial)/(\partial x)(3x^2-24y)

Lösung

\frac{\partial}{\partial x} (3 x^{2} - 24 y)

Lösung

6 x

Schritte zur Lösung

\frac{\partial}{\partial x} (3 x^{2} - 24 y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (3 x^{2}) - \frac{\partial}{\partial x} (24 y)

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

\frac{\partial}{\partial x} (24 y) = 0

= 6 x - 0

Vereinfache

= 6 x

Beliebte Beispiele

derivative of (x-1^{1/3}(x+2)^{2/3})

\frac{d}{d x} ((x - 1)^{\frac{1}{3}} (x + 2)^{\frac{2}{3}})

(dy}{dx}+\frac{x^2)/y =0

\frac{d y}{d x} + \frac{x ^{2}}{y} = 0

limit as x approaches 0 of x^{21x}

x \to 0 lim (x^{21 x})

(dy)/(dx)=(x-y)/(x+2y)

\frac{d y}{d x} = \frac{x - y}{x + 2 y}

(9+x)(dy)/(dx)=6+x

(9 + x) \frac{d y}{d x} = 6 + x