derivative of (sin(2x)/(tan(x)))

Lösung

\frac{d}{d x} (\frac{sin ( 2 x )}{tan ( x )})

- 2 sin (2 x)

Schritte zur Lösung

\frac{d}{d x} (\frac{sin ( 2 x )}{tan ( x )})

Vereinfache

\frac{sin ( 2 x )}{tan ( x )} : 2 cos^{2} (x)

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

Entferne die Konstante:

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

= 2 \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)) = - sin (x)

= 2 \cdot 2 cos (x) (- sin (x))

Vereinfache

2 \cdot 2 cos (x) (- sin (x)) : - 2 sin (2 x)

= - 2 sin (2 x)

t a y l or \frac{1}{( x + 2 )}

\int \frac{1}{4 x + 2} d x

\int \frac{3}{x ^{2} ( x ^{2} + 25 )} d x

\int \frac{1}{36 + x ^{2}} d x

\frac{\partial}{\partial x} (- 2 e^{4 y - x^{2} - y^{2}} x)