(ln(cos(x)))^'

Lösung

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

- tan (x)

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{1}{cos ( x )} (cos (x))^{'}

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

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

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

Vereinfache

\frac{1}{cos ( x )} (- sin (x)) : - tan (x)

= - tan (x)

x \to 0 lim (\frac{4 tan ( x )}{x})

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

\int x (1 + \frac{1}{x})^{3} d x

x \to + 1 lim (ln (3) + e^{x})

\int \frac{2 x ^{2} + 24}{x ( x - 2 ) ^{3}} d x