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Beliebt Rechnen >

derivative of arccos(ln(x))

Lösung

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

Lösung

- \frac{1}{x 1 - ln ^{2} ( x )}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (ln (x)) = \frac{1}{x}

= - \frac{1}{1 - ( ln ( x ) ) ^{2}} \cdot \frac{1}{x}

Vereinfache

- \frac{1}{1 - ln ^{2} ( x )} \cdot \frac{1}{x} : - \frac{1}{x 1 - ln ^{2} ( x )}

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

Graph

Beliebte Beispiele

d/(dt)(3sin(2t))

\frac{d}{d t} (3 sin (2 t))

integral from 3 to 5 of x^2

\int_{3}^{5} x^{2} d x

integral of (t^3)/(t^3+1)

\int \frac{t ^{3}}{t ^{3} + 1} d t

inverselaplace 1/((s^2+5s+4))

in v erse l a pl a ce \frac{1}{( s ^{2} + 5 s + 4 )}

sum from n=0 to infinity of (2n)/(n+1)

n = 0 \sum \infty \frac{2 n}{n + 1}