(\partial)/(\partial x)(-5x^2-2xy-3y^2)

Lösung

\frac{\partial}{\partial x} (- 5 x^{2} - 2 x y - 3 y^{2})

- 10 x - 2 y

Schritte zur Lösung

\frac{\partial}{\partial x} (- 5 x^{2} - 2 x y - 3 y^{2})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= - \frac{\partial}{\partial x} (5 x^{2}) - \frac{\partial}{\partial x} (2 x y) - \frac{\partial}{\partial x} (3 y^{2})

\frac{\partial}{\partial x} (5 x^{2}) = 10 x

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

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

= - 10 x - 2 y - 0

Vereinfache

= - 10 x - 2 y

d er i v a t i v e arccot (\frac{x}{9})

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

\int \frac{2 x + 3}{( x + 1 ) ^{2}} d x

im pl i c i t 8 x^{2} + 7 y^{2} = 56

\frac{d}{d x} (\frac{x ^{2}}{2 ( 1 - x )})