(\partial)/(\partial x)(sqrt(9-x^2-3y))

Lösung

\frac{\partial}{\partial x} (9 - x^{2} - 3 y)

- \frac{x}{9 - x ^{2} - 3 y}

Schritte zur Lösung

\frac{\partial}{\partial x} (9 - x^{2} - 3 y)

Behandle

y

als Konstante

Wende die Kettenregel an:

\frac{1}{2 9 - x ^{2} - 3 y} \frac{\partial}{\partial x} (9 - x^{2} - 3 y)

= \frac{1}{2 9 - x ^{2} - 3 y} \frac{\partial}{\partial x} (9 - x^{2} - 3 y)

\frac{\partial}{\partial x} (9 - x^{2} - 3 y) = - 2 x

= \frac{1}{2 9 - x ^{2} - 3 y} (- 2 x)

Vereinfache

\frac{1}{2 9 - x ^{2} - 3 y} (- 2 x) : - \frac{x}{9 - x ^{2} - 3 y}

= - \frac{x}{9 - x ^{2} - 3 y}

d er i v a t i v e y = arcsin (6 x + 1)

\int \frac{1}{- 2 x ^{2} - 12 x + 32} d x

s im pl i f y ln (\frac{a ^{2} - z ^{2}}{a ^{2} + z ^{2}})

x \to 5 lim (\frac{x - 5}{x - 5})

x \to 1 lim (18 x^{100} - 5)