(\partial)/(\partial x)(sqrt(8-3x^2-y^2))

Lösung

\frac{\partial}{\partial x} (8 - 3 x^{2} - y^{2})

- \frac{3 x}{8 - 3 x ^{2} - y ^{2}}

Schritte zur Lösung

\frac{\partial}{\partial x} (8 - 3 x^{2} - y^{2})

Behandle

y

als Konstante

Wende die Kettenregel an:

\frac{1}{2 8 - 3 x ^{2} - y ^{2}} \frac{\partial}{\partial x} (8 - 3 x^{2} - y^{2})

= \frac{1}{2 8 - 3 x ^{2} - y ^{2}} \frac{\partial}{\partial x} (8 - 3 x^{2} - y^{2})

\frac{\partial}{\partial x} (8 - 3 x^{2} - y^{2}) = - 6 x

= \frac{1}{2 8 - 3 x ^{2} - y ^{2}} (- 6 x)

Vereinfache

\frac{1}{2 8 - 3 x ^{2} - y ^{2}} (- 6 x) : - \frac{3 x}{8 - 3 x ^{2} - y ^{2}}

= - \frac{3 x}{8 - 3 x ^{2} - y ^{2}}

\int \frac{x ^{2} + 2 x - 6}{x ^{3} - x} d x

d er i v a t i v e (x^{2})^{2}

x \to \infty lim (\frac{e ^{x}}{1 - e ^{- x}})

\int \frac{1}{x ( ln ( 2 x ) )} d x

(40 cos (20 t - \frac{π}{2}))^{^{'}}