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Beliebt Rechnen >

derivative 4sec^2(x)-6sec^4(x)

Lösung

ableitung von

4 sec^{2} (x) - 6 sec^{4} (x)

Lösung

8 sec^{2} (x) tan (x) - 24 sec^{4} (x) tan (x)

Schritte zur Lösung

\frac{d}{d x} (4 sec^{2} (x) - 6 sec^{4} (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 sec^{2} (x)) - \frac{d}{d x} (6 sec^{4} (x))

\frac{d}{d x} (4 sec^{2} (x)) = 8 sec^{2} (x) tan (x)

\frac{d}{d x} (6 sec^{4} (x)) = 24 sec^{4} (x) tan (x)

= 8 sec^{2} (x) tan (x) - 24 sec^{4} (x) tan (x)

Graph

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