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

Lösung

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

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

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

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

= \frac{1}{x ^{2} - y} \cdot 2 x

Vereinfache

\frac{1}{x ^{2} - y} \cdot 2 x : \frac{2 x}{x ^{2} - y}

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

\frac{d}{d y} (\frac{y ^{3}}{8})

t an g e n t y = x^{4} + 8 x^{2} - x, (1, 8)

\int x + 2 - \frac{1}{x + 1} d x

\int \frac{x + 1}{x ^{2} + 2 x} d x

n = 1 \sum \infty \frac{1}{3} (\frac{e}{2})^{n}