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Beliebt Rechnen >

derivative f(x)=cos^4(x)-2x^2

Lösung

ableitung von

f (x) = cos^{4} (x) - 2 x^{2}

Lösung

- 4 cos^{3} (x) sin (x) - 4 x

Schritte zur Lösung

\frac{d}{d x} (cos^{4} (x) - 2 x^{2})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (cos^{4} (x)) - \frac{d}{d x} (2 x^{2})

\frac{d}{d x} (cos^{4} (x)) = - 4 cos^{3} (x) sin (x)

\frac{d}{d x} (2 x^{2}) = 4 x

= - 4 cos^{3} (x) sin (x) - 4 x

Graph

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