derivative-3sin^4(x)

Lösung

ableitung von

- 3 sin^{4} (x)

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

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

= - 12 sin^{3} (x) cos (x)

\frac{\partial}{\partial x} (5 y^{4} cos (4 x))

\int sin^{\frac{1}{2}} (x) cos (x) d x

x^{3} \frac{d y}{d x} + 3 x^{2} y = x

d er i v a t i v e (\frac{2}{5} x)^{3}

\frac{\partial}{\partial x} (- 2 x^{2} + 4 y^{2} + 3 z^{2} + 43)