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

Lösung

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

- 4 y

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial y} (3 x^{2}) = 0

\frac{\partial}{\partial y} (2 y^{2}) = 4 y

= 0 - 4 y

Vereinfache

= - 4 y

x \to \infty lim (\frac{x}{( ln ( x ) ) ^{x}})

\frac{\partial}{\partial x} (n^{2} x \cdot (1 - x)^{n})

\int \frac{1}{( x ^{2} + 2 x + 2 ) ^{2}} d x

\frac{d y}{d t} + 2 y = 1

x \to 1 - lim (4 x - 6)