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Beliebt Rechnen >

derivative f(x)=sin(tan(3x))

Lösung

ableitung von

f (x) = sin (tan (3 x))

Lösung

cos (tan (3 x)) sec^{2} (3 x) \cdot 3

Schritte zur Lösung

\frac{d}{d x} (sin (tan (3 x)))

Wende die Kettenregel an:

cos (tan (3 x)) \frac{d}{d x} (tan (3 x))

= cos (tan (3 x)) \frac{d}{d x} (tan (3 x))

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

= cos (tan (3 x)) sec^{2} (3 x) \cdot 3

Graph

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