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Beliebt Rechnen >

derivative sec(x)-6cos(x)

Lösung

ableitung von

sec (x) - 6 cos (x)

Lösung

sec (x) tan (x) + 6 sin (x)

Schritte zur Lösung

\frac{d}{d x} (sec (x) - 6 cos (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (sec (x)) - \frac{d}{d x} (6 cos (x))

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

\frac{d}{d x} (6 cos (x)) = - 6 sin (x)

= sec (x) tan (x) - (- 6 sin (x))

Vereinfache

= sec (x) tan (x) + 6 sin (x)

Graph

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