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Beliebt Rechnen >

derivative f(x)=a^4+cos^4(x)

Lösung

ableitung von

f (x) = a^{4} + cos^{4} (x)

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (a^{4} + cos^{4} (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (a^{4}) + \frac{d}{d x} (cos^{4} (x))

\frac{d}{d x} (a^{4}) = 0

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

= 0 - 4 cos^{3} (x) sin (x)

Vereinfache

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

Graph

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