(\partial)/(\partial x)(-9x^2-7y^2)

Lösung

\frac{\partial}{\partial x} (- 9 x^{2} - 7 y^{2})

- 18 x

Schritte zur Lösung

\frac{\partial}{\partial x} (- 9 x^{2} - 7 y^{2})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= - \frac{\partial}{\partial x} (9 x^{2}) - \frac{\partial}{\partial x} (7 y^{2})

\frac{\partial}{\partial x} (9 x^{2}) = 18 x

\frac{\partial}{\partial x} (7 y^{2}) = 0

= - 18 x - 0

Vereinfache

= - 18 x