derivative of sin(2x*2)

Lösung

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

4 cos (2 x)

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

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

= 2 cos (2 x) \cdot 2

Vereinfache

= 4 cos (2 x)

\frac{d}{d x} (a e^{v} + \frac{b}{v} + \frac{c}{v ^{2}})

\frac{\partial}{\partial u} (u^{9} + v^{7})

\int (cos (x))^{- 1} d x

\frac{d}{d x} (x^{\frac{1}{2}} (3 x^{2} - 35 x + 90))

\frac{d ^{2}}{d x ^{2}} (3 (x^{2} - 1)^{2})