derivative of cos^2(sqrt(x))

Lösung

\frac{d}{d x} (cos^{2} (x))

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

Schritte zur Lösung

\frac{d}{d x} (cos^{2} (x))

Wende die Kettenregel an:

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

= 2 cos (x) \frac{d}{d x} (cos (x))

\frac{d}{d x} (cos (x)) = - \frac{sin ( x )}{2 x}

= 2 cos (x) (- \frac{sin ( x )}{2 x})

Vereinfache

2 cos (x) (- \frac{sin ( x )}{2 x}) : - \frac{sin ( x ) cos ( x )}{x}

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

\int \frac{x + 23}{x ^{2} + 20 x + 104} d x

\int_{0}^{2 π} x e^{- i x} d x

\int 3 x^{2} ln (x) d x

x \to 0 lim (- 2 g (x))

\frac{d}{d x} (2 x csc (x) sec (x))