(sin(ln(x)))^'

Lösung

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

\frac{cos ( ln ( x ) )}{x}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

cos (ln (x)) \frac{1}{x} : \frac{cos ( ln ( x ) )}{x}

= \frac{cos ( ln ( x ) )}{x}

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

\int 2 x^{2} - 1 d x

d er i v a t i v e f (x) = a x^{3} + b x^{2} + c x + d

\int (9 x + cos (x)) d x

x \to - 4 lim (x - 4)