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Beliebt Rechnen >

derivative sin^4(3x^2)

Lösung

ableitung von

sin^{4} (3 x^{2})

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (sin^{4} (3 x^{2}))

Wende die Kettenregel an:

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

= 4 (sin (3 x^{2}))^{3} \frac{d}{d x} (sin (3 x^{2}))

\frac{d}{d x} (sin (3 x^{2})) = cos (3 x^{2}) \cdot 6 x

= 4 (sin (3 x^{2}))^{3} cos (3 x^{2}) \cdot 6 x

Vereinfache

= 24 x sin^{3} (3 x^{2}) cos (3 x^{2})

Graph

Beliebte Beispiele

10 y^{^{'}} + 20 y = 12

2(12)(18)+2(9)(dy)/(dt)=0

2 (12) (18) + 2 (9) \frac{d y}{d t} = 0

(dy)/(dt)=25t^4

\frac{d y}{d t} = 25 t^{4}

y^'=(6x-12)/(x^2),y(1)=20

y^{^{'}} = \frac{6 x - 12}{x ^{2}}, y (1) = 20

integral of 2xln(x^2)

\int 2 x ln (x^{2}) d x