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Beliebt Rechnen >

(\partial)/(\partial x)(3x^2-5y)

Lösung

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

Lösung

6 x

Schritte zur Lösung

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

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

\frac{\partial}{\partial x} (5 y) = 0

= 6 x - 0

Vereinfache

= 6 x

Beliebte Beispiele

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t an g e n t x y^{8} + 8 x y = 36, (4, 1)

derivative of 13/3 x^3+21/2 x^2-10x-7

\frac{d}{d x} (\frac{13}{3} x^{3} + \frac{21}{2} x^{2} - 10 x - 7)

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\int \frac{x ^{2}}{3 + 1} d x

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d er i v a t i v e f (x) = x - 3