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Beliebt Rechnen >

derivative sin^3(5x)

Lösung

ableitung von

sin^{3} (5 x)

Lösung

15 sin^{2} (5 x) cos (5 x)

Schritte zur Lösung

\frac{d}{d x} (sin^{3} (5 x))

Wende die Kettenregel an:

3 (sin (5 x))^{2} \frac{d}{d x} (sin (5 x))

= 3 (sin (5 x))^{2} \frac{d}{d x} (sin (5 x))

\frac{d}{d x} (sin (5 x)) = cos (5 x) \cdot 5

= 3 (sin (5 x))^{2} cos (5 x) \cdot 5

Vereinfache

= 15 sin^{2} (5 x) cos (5 x)

Graph

Beliebte Beispiele

limit as y approaches-3 of 4y^2+4y+1

y \to - 3 lim (4 y^{2} + 4 y + 1)

tangent y=(sqrt(2))^x,\at x=8

t an g e n t y = (2)^{x}, at x = 8

partialfraction (x^2)/(x^2+1)

p a r t ia l f r a c t i o n \frac{x ^{2}}{x ^{2} + 1}

f^'x=(2x)(x^4-8x)+(x^2)(4x^3-8)

f^{^{'}} x = (2 x) (x^{4} - 8 x) + (x^{2}) (4 x^{3} - 8)

derivative y=(6t-3)/(5t+8)

d er i v a t i v e y = \frac{6 t - 3}{5 t + 8}