derivative-sin^3(x)

Lösung

ableitung von

- sin^{3} (x)

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

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

\frac{\partial}{\partial x} (2 y sin (x) - x^{3} + ln (y))

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

\int_{0}^{1} x (x - x) d x

\frac{d}{d x} (ln (x - 2))

\int_{0}^{π} (5 e^{x} + 5 sin (x)) d x