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Beliebt Rechnen >

(\partial)/(\partial x)(4xy+3)

Lösung

\frac{\partial}{\partial x} (4 x y + 3)

Lösung

4 y

Schritte zur Lösung

\frac{\partial}{\partial x} (4 x y + 3)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (4 x y) + \frac{\partial}{\partial x} (3)

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

\frac{\partial}{\partial x} (3) = 0

= 4 y + 0

Vereinfache

= 4 y

Beliebte Beispiele

integral of xcos((pix)/2)

\int x cos (\frac{π x}{2}) d x

integral from 1 to 2 of 1/(2x+1)

\int_{1}^{2} \frac{1}{2 x + 1} d x

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\int v (1 - \frac{2}{3} v^{2})^{6} d v

(\partial)/(\partial x)(4ycos(-6x))

\frac{\partial}{\partial x} (4 y cos (- 6 x))

derivative of 1/(x-7)

\frac{d}{d x} (\frac{1}{x - 7})