derivative-ln(cos(x))

Lösung

ableitung von

- ln (cos (x))

tan (x)

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Kettenregel an:

\frac{1}{cos ( x )} \frac{d}{d x} (cos (x))

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

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

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

Vereinfache

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

= tan (x)

\int 2 (sin (x) - cos (x) + x) d x

\int_{2}^{x} 1 + t^{2} d t

d er i v a t i v e y = (a x + b)^{6}

\int \frac{1}{x ^{2} + 16} d x

z \to - i lim (\frac{im ( z )}{z})