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Beliebt Rechnen >

derivative of 4cos(sin(3x))

Lösung

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

Lösung

- 12 sin (sin (3 x)) cos (3 x)

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

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

= 4 (- sin (sin (3 x)) cos (3 x) \cdot 3)

Vereinfache

= - 12 sin (sin (3 x)) cos (3 x)

Graph

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y^{'''}+y^'=t^2

y^{^{'''}} + y^{^{'}} = t^{2}

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