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Beliebt Rechnen >

derivative of sec^2(9x)

Lösung

\frac{d}{d x} (sec^{2} (9 x))

Lösung

18 sec^{2} (9 x) tan (9 x)

Schritte zur Lösung

\frac{d}{d x} (sec^{2} (9 x))

Wende die Kettenregel an:

2 sec (9 x) \frac{d}{d x} (sec (9 x))

= 2 sec (9 x) \frac{d}{d x} (sec (9 x))

\frac{d}{d x} (sec (9 x)) = sec (9 x) tan (9 x) \cdot 9

= 2 sec (9 x) sec (9 x) tan (9 x) \cdot 9

Vereinfache

2 sec (9 x) sec (9 x) tan (9 x) \cdot 9 : 18 sec^{2} (9 x) tan (9 x)

= 18 sec^{2} (9 x) tan (9 x)

Graph

Beliebte Beispiele

(\partial)/(\partial x)(1/(2x)arctan(y/x))

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integral of (e^x+5)

\int (e^{x} + 5) d x

limit as x approaches 3 of 9-x^2

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