(\partial)/(\partial x)(y^2-x^2-10)

Lösung

\frac{\partial}{\partial x} (y^{2} - x^{2} - 10)

- 2 x

Schritte zur Lösung

\frac{\partial}{\partial x} (y^{2} - x^{2} - 10)

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} (x^{2}) - \frac{\partial}{\partial x} (10)

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

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

\frac{\partial}{\partial x} (10) = 0

= 0 - 2 x - 0

Vereinfache

= - 2 x

\frac{t d y}{d t} = t^{3} + 23 t^{3} y

y^{^{''}} - \frac{2 3}{3} y^{^{'}} + \frac{2}{9} = 0

\int_{0}^{2} (2 x - 1)^{2} d x

\int sec (3 t) tan (3 t) d t

y^{^{''}} + 5 y^{^{'}} + 10 y = 510 e^{2 t} cos (6 t)