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Beliebt Rechnen >

(\partial)/(\partial x)(sqrt(8-x^2))

Lösung

\frac{\partial}{\partial x} (8 - x^{2})

Lösung

- \frac{x}{8 - x ^{2}}

Schritte zur Lösung

\frac{\partial}{\partial x} (8 - x^{2})

Wende die Kettenregel an:

\frac{1}{2 8 - x ^{2}} \frac{\partial}{\partial x} (8 - x^{2})

= \frac{1}{2 8 - x ^{2}} \frac{\partial}{\partial x} (8 - x^{2})

\frac{\partial}{\partial x} (8 - x^{2}) = - 2 x

= \frac{1}{2 8 - x ^{2}} (- 2 x)

Vereinfache

\frac{1}{2 8 - x ^{2}} (- 2 x) : - \frac{x}{8 - x ^{2}}

= - \frac{x}{8 - x ^{2}}

Beliebte Beispiele

integral from 1 to 100 of (21)/(x^3)

\int_{1}^{100} \frac{21}{x ^{3}} d x

derivative ln(x+sqrt(x^2-7))

d er i v a t i v e ln (x + x^{2} - 7)

2y^{''}-6y^'+5y=0

2 y^{^{''}} - 6 y^{^{'}} + 5 y = 0

integral of cot(15x)

\int cot (15 x) d x

(\partial)/(\partial s)(sqrt(s^2+t^2))

\frac{\partial}{\partial s} (s^{2} + t^{2})