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Beliebt Rechnen >

derivative of sin^3(4x)

Lösung

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

Lösung

12 sin^{2} (4 x) cos (4 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

= 12 sin^{2} (4 x) cos (4 x)

Graph

Beliebte Beispiele

integral of 1/(x(x+0))

\int \frac{1}{x ( x + 0 )} d x

d/(dθ)(6/(2-3sin(θ)))

\frac{d}{d θ} (\frac{6}{2 - 3 sin ( θ )})

2 y^{^{''}} + y = 0

integral of sin^3(x/6)

\int sin^{3} (\frac{x}{6}) d x

x((dy)/(dx))=y^2-y

x (\frac{d y}{d x}) = y^{2} - y