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Beliebt Rechnen >

derivative of cos^3(x^2-x)

Lösung

\frac{d}{d x} (cos^{3} (x^{2} - x))

Lösung

- 3 cos^{2} (x^{2} - x) sin (x^{2} - x) (2 x - 1)

Schritte zur Lösung

\frac{d}{d x} (cos^{3} (x^{2} - x))

Wende die Kettenregel an:

3 (cos (x^{2} - x))^{2} \frac{d}{d x} (cos (x^{2} - x))

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

\frac{d}{d x} (cos (x^{2} - x)) = - sin (x^{2} - x) (2 x - 1)

= 3 (cos (x^{2} - x))^{2} (- sin (x^{2} - x) (2 x - 1))

Vereinfache

= - 3 cos^{2} (x^{2} - x) sin (x^{2} - x) (2 x - 1)

Graph

Beliebte Beispiele

integral of \sqrt[3]{1-4sin(x)}*cos(x)

\int 3 1 - 4 sin (x) \cdot cos (x) d x

y^2y^'+y^3=1,y(0)=0

y^{2} y^{^{'}} + y^{3} = 1, y (0) = 0

integral from 2 to infinity of e^{-2x}

\int_{2}^{\infty} e^{- 2 x} d x

derivative f(x)=xcos(x^2)

d er i v a t i v e f (x) = x cos (x^{2})

limit as x approaches 5 of 2x

x \to 5 lim (2 x)