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Beliebt Rechnen >

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

Lösung

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

Lösung

- sin (2 x) - 2 cos (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Graph

Beliebte Beispiele

limit as x approaches infinity of (ln(x^5))/(13x)

x \to \infty lim (\frac{ln ( x ^{5} )}{13 x})

integral of pi(2x)^2

\int π (2 x)^{2} d x

derivative of 4cos(x+4sin(x))

\frac{d}{d x} (4 cos (x) + 4 sin (x))

derivative 2xsin(x)+cos(x)x^2

d er i v a t i v e 2 x sin (x) + cos (x) x^{2}

integral of 4e^{-4x}

\int 4 e^{- 4 x} d x