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Beliebt Rechnen >

(\partial)/(\partial x)(sin^3(2x))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

Beliebte Beispiele

integral from 0 to pi of 3xsin(x)

\int_{0}^{π} 3 x sin (x) d x

inverselaplace s/(s^4+4)

in v erse l a pl a ce \frac{s}{s ^{4} + 4}

derivative of 20cos(x)

\frac{d}{d x} (20 cos (x))

(\partial)/(\partial x)(5x^2+y^2)

\frac{\partial}{\partial x} (5 x^{2} + y^{2})

integral of 4xln(7x)

\int 4 x ln (7 x) d x