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Beliebt Rechnen >

derivative f(x)=tan^7(x)

Lösung

ableitung von

f (x) = tan^{7} (x)

Lösung

7 tan^{6} (x) sec^{2} (x)

Schritte zur Lösung

\frac{d}{d x} (tan^{7} (x))

Wende die Kettenregel an:

7 (tan (x))^{6} \frac{d}{d x} (tan (x))

= 7 (tan (x))^{6} \frac{d}{d x} (tan (x))

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

= 7 (tan (x))^{6} sec^{2} (x)

Vereinfache

= 7 tan^{6} (x) sec^{2} (x)

Graph

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