derivative of 4sin^3(2x)

Lösung

\frac{d}{d x} (4 sin^{3} (2 x))

24 sin^{2} (2 x) cos (2 x)

Schritte zur Lösung

\frac{d}{d x} (4 sin^{3} (2 x))

Entferne die Konstante:

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

= 4 \frac{d}{d x} (sin^{3} (2 x))

Wende die Kettenregel an:

3 (sin (2 x))^{2} \frac{d}{d x} (sin (2 x))

= 3 (sin (2 x))^{2} \frac{d}{d x} (sin (2 x))

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

= 4 \cdot 3 (sin (2 x))^{2} cos (2 x) \cdot 2

Vereinfache

= 24 sin^{2} (2 x) cos (2 x)

\int \frac{1}{( w ^{2} + 5 ) ^{\frac{3}{2}}} d w

\frac{d}{d x} ((x^{2} ln (x))^{4})

d er i v a t i v e y = \frac{1}{3} cos (\frac{6 π x - 1}{2})

\int - e^{x} - \frac{7}{cos ^{2} ( x )} d x

\int \frac{3}{2} e^{\frac{3}{2} x} d x