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

Lösung

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

- \frac{x}{y - x ^{2}}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

= \frac{1}{2 y - x ^{2}} \frac{\partial}{\partial x} (y - x^{2})

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

= \frac{1}{2 y - x ^{2}} (- 2 x)

Vereinfache

\frac{1}{2 y - x ^{2}} (- 2 x) : - \frac{x}{y - x ^{2}}

= - \frac{x}{y - x ^{2}}

\frac{\partial}{\partial x} (r cos (x))

x \to 7 lim (3 x - 4)

\int 2 x 1 - x^{2} d x

\int \frac{1}{- x ^{2} - 8 x - 7} d x

\frac{d}{d x} ((sec (x))^{2})