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Beliebt Rechnen >

derivative sec^3(x)

Lösung

ableitung von

sec^{3} (x)

Lösung

3 sec^{3} (x) tan (x)

Schritte zur Lösung

\frac{d}{d x} (sec^{3} (x))

Wende die Kettenregel an:

3 (sec (x))^{2} \frac{d}{d x} (sec (x))

= 3 (sec (x))^{2} \frac{d}{d x} (sec (x))

\frac{d}{d x} (sec (x)) = sec (x) tan (x)

= 3 (sec (x))^{2} sec (x) tan (x)

Vereinfache

3 sec^{2} (x) sec (x) tan (x) : 3 sec^{3} (x) tan (x)

= 3 sec^{3} (x) tan (x)

Graph

Beliebte Beispiele

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y^{^{''}} + 9 y = 6 tan (3 x)

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\int e^{i 6 x} cos (5 x) d x

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\int x^{2} (8 x - 3) d x

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