derivative of sin^5(2x)

Lösung

\frac{d}{d x} (sin^{5} (2 x))

10 sin^{4} (2 x) cos (2 x)

Schritte zur Lösung

\frac{d}{d x} (sin^{5} (2 x))

Wende die Kettenregel an:

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

= 5 (sin (2 x))^{4} \frac{d}{d x} (sin (2 x))

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

= 5 (sin (2 x))^{4} cos (2 x) \cdot 2

Vereinfache

= 10 sin^{4} (2 x) cos (2 x)

\frac{\partial}{\partial x} (x e^{x^{2}})

x y^{^{'}} - x^{2} y = - x^{2}

x^{2} - 3 x + 2

\int_{- 4}^{0} 2 + 16 - x^{2} d x

\int_{- 1}^{2} x - x^{2} + 2 d x