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Beliebt Rechnen >

(cos(ln(x)))^'

Lösung

(cos (ln (x)))^{^{'}}

Lösung

- \frac{sin ( ln ( x ) )}{x}

Schritte zur Lösung

(cos (ln (x)))^{'}

Wende die Kettenregel an:

- sin (ln (x)) (ln (x))^{'}

= - sin (ln (x)) (ln (x))^{'}

(ln (x))^{'} = \frac{1}{x}

= - sin (ln (x)) \frac{1}{x}

Vereinfache

- sin (ln (x)) \frac{1}{x} : - \frac{sin ( ln ( x ) )}{x}

= - \frac{sin ( ln ( x ) )}{x}

Graph

Beliebte Beispiele

derivative of a{r}(xc)

\frac{d}{d x} (a r (x) c)

derivative 2sin(x)+sin^2(x)

d er i v a t i v e 2 sin (x) + sin^{2} (x)

(\partial)/(\partial t)(y+xcos(t))

\frac{\partial}{\partial t} (y + x cos (t))

integral of 9x^2

\int 9 x^{2} d x

derivative y=(2tan^2(2x)-1)^{1/2}

d er i v a t i v e y = (2 tan^{2} (2 x) - 1)^{\frac{1}{2}}