derivative y=ln(sqrt(x^2-4))

Lösung

ableitung von

y = ln (x^{2} - 4)

\frac{x}{x ^{2} - 4}

Schritte zur Lösung

\frac{d}{d x} (ln (x^{2} - 4))

Wende die Kettenregel an:

\frac{1}{x ^{2} - 4} \frac{d}{d x} (x^{2} - 4)

= \frac{1}{x ^{2} - 4} \frac{d}{d x} (x^{2} - 4)

\frac{d}{d x} (x^{2} - 4) = \frac{x}{x ^{2} - 4}

= \frac{1}{x ^{2} - 4} \cdot \frac{x}{x ^{2} - 4}

Vereinfache

\frac{1}{x ^{2} - 4} \cdot \frac{x}{x ^{2} - 4} : \frac{x}{x ^{2} - 4}

= \frac{x}{x ^{2} - 4}

x \to 2 lim (3 - x^{\frac{1}{x ^{2}}})

\frac{d}{d x} ((x) d x)

\frac{d}{d x} (cos (\frac{1 - e ^{6 x}}{1 + e ^{6 x}}))

x \to \infty lim (9.9)

y^{^{'}} = \frac{x - y}{x + y}