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Beliebt Rechnen >

derivative of cos^2(8x)

Lösung

\frac{d}{d x} (cos^{2} (8 x))

Lösung

- 16 cos (8 x) sin (8 x)

Schritte zur Lösung

\frac{d}{d x} (cos^{2} (8 x))

Wende die Kettenregel an:

2 cos (8 x) \frac{d}{d x} (cos (8 x))

= 2 cos (8 x) \frac{d}{d x} (cos (8 x))

\frac{d}{d x} (cos (8 x)) = - sin (8 x) \cdot 8

= 2 cos (8 x) (- sin (8 x) \cdot 8)

Vereinfache

= - 16 cos (8 x) sin (8 x)

Graph

Beliebte Beispiele

derivative (5x+3)^{1/5}

d er i v a t i v e (5 x + 3)^{\frac{1}{5}}

derivative f(x)=-3/(x^2)

d er i v a t i v e f (x) = - \frac{3}{x ^{2}}

integral of 14cos(x)

\int 14 cos (x) d x

x^{^{'}} + 4 x = 0

derivative y=108-90e^{-0.4t}

d er i v a t i v e y = 108 - 90 e^{- 0.4 t}