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Beliebt Rechnen >

(\partial)/(\partial x)(6xy-12x)

Lösung

\frac{\partial}{\partial x} (6 x y - 12 x)

Lösung

6 y - 12

Schritte zur Lösung

\frac{\partial}{\partial x} (6 x y - 12 x)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (6 x y) - \frac{\partial}{\partial x} (12 x)

\frac{\partial}{\partial x} (6 x y) = 6 y

\frac{\partial}{\partial x} (12 x) = 12

= 6 y - 12

Beliebte Beispiele

(2x+4)dx+(3y-1)dy=0

(2 x + 4) d x + (3 y - 1) d y = 0

limit as x approaches 0 of 1/(x+3)

x \to 0 lim (\frac{1}{x + 3})

integral of cos^4(2x)sin(2x)

\int cos^{4} (2 x) sin (2 x) d x

derivative of (cos(x)/(x^2))

\frac{d}{d x} (\frac{cos ( x )}{x ^{2}})

limit as x approaches-6 of-12

x \to - 6 lim (- 12)