derivative of |cos(x|)

Lösung

\frac{d}{d x} (∣ cos (x) ∣)

- \frac{cos ( x ) sin ( x )}{∣ cos ( x ) ∣}

Schritte zur Lösung

\frac{d}{d x} (∣ cos (x) ∣)

Wende die Kettenregel an:

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

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

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

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

Vereinfache

\frac{cos ( x )}{∣ cos ( x ) ∣} (- sin (x)) : - \frac{cos ( x ) sin ( x )}{∣ cos ( x ) ∣}

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

(y^{3} - 1) e^{x} d x + 3 y^{2} (e^{x} + 1) d y = 0, y (0) = - 2

\int 3 x^{2} + 5 d x

\frac{\partial}{\partial x} (9 - x^{3} - y^{5})

\frac{d}{d x} (6^{4 - 3 x})

\frac{d}{d x} (\frac{x}{x ^{2} + 49})