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Beliebt Rechnen >

derivative of 6sec(x^2)

Lösung

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

Lösung

12 x sec (x^{2}) tan (x^{2})

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Kettenregel an:

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

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

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

= 6 sec (x^{2}) tan (x^{2}) \cdot 2 x

Vereinfache

= 12 x sec (x^{2}) tan (x^{2})

Graph

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