derivative of 6ln(cos(x))

Lösung

\frac{d}{d x} (6 ln (cos (x)))

- 6 tan (x)

Schritte zur Lösung

\frac{d}{d x} (6 ln (cos (x)))

Entferne die Konstante:

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

= 6 \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)

= 6 \cdot \frac{1}{cos ( x )} (- sin (x))

Vereinfache

6 \cdot \frac{1}{cos ( x )} (- sin (x)) : - 6 tan (x)

= - 6 tan (x)

\frac{\partial}{\partial x} (e^{x y} sin (y))

x \to 0 lim (9 x^{2} - 2 x + 5)

\frac{\partial}{\partial b} (1 0^{- 2 b})

\int \frac{x ^{2}}{x ^{2} + x - 6} d x

x \to 0 lim (\frac{sin ( - x )}{x})