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

Lösung

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

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

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

\frac{d}{d x} (- e^{- 4 x})

\int_{3}^{\infty} \frac{e ^{- \frac{1}{x}}}{x ^{2}} d x

(cos (x))^{^{'}}

\int (x + 1) d x

\int (2^{x} + 4 e^{x} + x^{3} + 5) d x