(\partial)/(\partial x)(sqrt(25-x^2-5y))

Lösung

\frac{\partial}{\partial x} (25 - x^{2} - 5 y)

- \frac{x}{25 - x ^{2} - 5 y}

Schritte zur Lösung

\frac{\partial}{\partial x} (25 - x^{2} - 5 y)

Behandle

y

als Konstante

Wende die Kettenregel an:

\frac{1}{2 25 - x ^{2} - 5 y} \frac{\partial}{\partial x} (25 - x^{2} - 5 y)

= \frac{1}{2 25 - x ^{2} - 5 y} \frac{\partial}{\partial x} (25 - x^{2} - 5 y)

\frac{\partial}{\partial x} (25 - x^{2} - 5 y) = - 2 x

= \frac{1}{2 25 - x ^{2} - 5 y} (- 2 x)

Vereinfache

\frac{1}{2 25 - x ^{2} - 5 y} (- 2 x) : - \frac{x}{25 - x ^{2} - 5 y}

= - \frac{x}{25 - x ^{2} - 5 y}

n = 0 \sum \infty \frac{5}{π ^{n}}

\frac{d}{d x} (4 + 2 x - 3 x^{2} - 5 x^{3} - 8 x^{4} + 9 x^{5})

\int_{0}^{2 π} 20 + 16 t^{2} d t

x \to - 2 lim ((x + 1)^{4} (2 x^{2}))

d er i v a t i v e \frac{x ^{2} + 9}{x + 3}