(\partial)/(\partial x)(y^2+6x-x^2y+36)

Lösung

\frac{\partial}{\partial x} (y^{2} + 6 x - x^{2} y + 36)

- 2 y x + 6

Schritte zur Lösung

\frac{\partial}{\partial x} (y^{2} + 6 x - x^{2} y + 36)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (y^{2}) + \frac{\partial}{\partial x} (6 x) - \frac{\partial}{\partial x} (x^{2} y) + \frac{\partial}{\partial x} (36)

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

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

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

\frac{\partial}{\partial x} (36) = 0

= 0 + 6 - 2 y x + 0

Vereinfache

= - 2 y x + 6

\int 2 t d t

\int (4 x + 4) 2 x^{2} + 4 x d x

\int 50 x d x

a re a x - 1, x - 1

\int_{0}^{π} 3 e^{x} sin (x) d x