derivative of ln(sqrt(x^2+20))

Lösung

\frac{d}{d x} (ln (x^{2} + 20))

\frac{x}{x ^{2} + 20}

Schritte zur Lösung

\frac{d}{d x} (ln (x^{2} + 20))

Wende die Kettenregel an:

\frac{1}{x ^{2} + 20} \frac{d}{d x} (x^{2} + 20)

= \frac{1}{x ^{2} + 20} \frac{d}{d x} (x^{2} + 20)

\frac{d}{d x} (x^{2} + 20) = \frac{x}{x ^{2} + 20}

= \frac{1}{x ^{2} + 20} \cdot \frac{x}{x ^{2} + 20}

Vereinfache

\frac{1}{x ^{2} + 20} \cdot \frac{x}{x ^{2} + 20} : \frac{x}{x ^{2} + 20}

= \frac{x}{x ^{2} + 20}

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

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

x \to 1800 lim (28 π^{2})

d er i v a t i v e \frac{x ^{2} - 8 x + 5}{x ^{2} + 8}

\int \frac{1}{4 x x ^{2} - 16} d x