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Beliebt Rechnen >

(\partial)/(\partial x)(3x^2y+2y)

Lösung

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

Lösung

6 x y

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial x} (2 y) = 0

= 6 y x + 0

Vereinfache

= 6 x y

Beliebte Beispiele

integral from 1 to 2 of xe^x

\int_{1}^{2} x e^{x} d x

derivative f(x)=5^{sin(x)}

d er i v a t i v e f (x) = 5^{s i n (x)}

integral from 1 to e of ln(11x)

\int_{1}^{e} ln (11 x) d x

integral of 5^{x^2}

\int 5^{x^{2}} d x

integral of x/(sqrt(36-x^2))

\int \frac{x}{36 - x ^{2}} d x