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Beliebt Rechnen >

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

Lösung

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

Lösung

- sin (2 x) + sin (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

= - sin (2 x) - (- sin (x))

Vereinfache

= - sin (2 x) + sin (x)

Graph

Beliebte Beispiele

derivative of m(m-1x^{m-2})

\frac{d}{d x} (m (m - 1) x^{m - 2})

derivative of arctan(1)

\frac{d}{d x} (arctan (1))

integral of (1-x^{3/2})^{5/3}*sqrt(x)

\int (1 - x^{\frac{3}{2}})^{\frac{5}{3}} \cdot x d x

derivative of sin((5x^2+8^8))

\frac{d}{d x} (sin ((5 x^{2} + 8)^{8}))

derivative sqrt(2t^2-t)

d er i v a t i v e 2 t^{2} - t