derivative of sin^3(2x-3)

Lösung

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

6 sin^{2} (2 x - 3) cos (2 x - 3)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (sin (2 x - 3)) = cos (2 x - 3) \cdot 2

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

Vereinfache

= 6 sin^{2} (2 x - 3) cos (2 x - 3)

\int x arctan (5 x) d x

d er i v a t i v e f (x) = 7 x sin (x)

\int 49 tan^{5} (x) sec^{4} (x) d x

h \to 0 + lim (2 + h)

\frac{x d y}{d x} = y^{2} - y