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Beliebt Rechnen >

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

Lösung

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

Lösung

6 x + 2 y

Schritte zur Lösung

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

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

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

= 6 x + 2 y

Beliebte Beispiele

integral of 1/(4^x)

\int \frac{1}{4 ^{x}} d x

limit as x approaches-2 of 4x^2-3x+5

x \to - 2 lim (4 x^{2} - 3 x + 5)

(sqrt(y^2+1))/(ydy)= x/(dx)

\frac{y ^{2} + 1}{y d y} = \frac{x}{d x}

derivative of 2x^2-4x+5

\frac{d}{d x} (2 x^{2} - 4 x + 5)

derivative 3e^{6x}

d er i v a t i v e 3 e^{6 x}