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Beliebt Rechnen >

derivative (sin(x))^3

Lösung

ableitung von

(sin (x))^{3}

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

Graph

Beliebte Beispiele

integral of (-sin(x))

\int (- sin (x)) d x

derivative of ln((x+1/x))

\frac{d}{d x} (ln (\frac{x + 1}{x}))

integral of y^2-4

\int y^{2} - 4 d y

integral of cos(x)sin^4(x)

\int cos (x) sin^{4} (x) d x

tangent f(x)= 7/2 x^2-5x+1

t an g e n t f (x) = \frac{7}{2} x^{2} - 5 x + 1