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

Lösung

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

6 y x + 2 y^{2}

Schritte zur Lösung

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

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 x y^{2})

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

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

= 6 y x + 2 y^{2}

x \to 3 lim (tan (\frac{3 π}{4}))

\int \frac{1}{2 x + x} d x

\int r e^{\frac{r}{3}} d r

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

x \to \infty + lim (x^{3})