derivative of ln(sqrt(x^2+4))

Lösung

\frac{d}{d x} (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}

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

n = 1 \sum \infty \frac{n ^{4}}{4 ^{n}}

a re a x, \frac{1}{x ^{2}}, [0, 1]

\int 8 t^{3} - 6 t^{- 2} d t

x \to 5 + lim (\frac{2}{x - 5})