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Beliebt Rechnen >

(\partial)/(\partial x)(3x+6y)

Lösung

\frac{\partial}{\partial x} (3 x + 6 y)

Lösung

3

Schritte zur Lösung

\frac{\partial}{\partial x} (3 x + 6 y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (3 x) + \frac{\partial}{\partial x} (6 y)

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

\frac{\partial}{\partial x} (6 y) = 0

= 3 + 0

Vereinfache

= 3

Beliebte Beispiele

limit as x approaches 0-of 3/(x^2)

x \to 0 - lim (\frac{3}{x ^{2}})

fläche y=x^2,y=x+2,y=0

a re a y = x^{2}, y = x + 2, y = 0

derivative 6sqrt(t)-4t^3+9

d er i v a t i v e 6 t - 4 t^{3} + 9

integral of (16x^3)/(sqrt(4-x^2))

\int \frac{16 x ^{3}}{4 - x ^{2}} d x

integral of-x+4

\int - x + 4 d x