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Beliebt Rechnen >

derivative (sin^2(x)+1)^5

Lösung

ableitung von

(sin^{2} (x) + 1)^{5}

Lösung

5 (sin^{2} (x) + 1)^{4} sin (2 x)

Schritte zur Lösung

\frac{d}{d x} ((sin^{2} (x) + 1)^{5})

Wende die Kettenregel an:

5 (sin^{2} (x) + 1)^{4} \frac{d}{d x} (sin^{2} (x) + 1)

= 5 (sin^{2} (x) + 1)^{4} \frac{d}{d x} (sin^{2} (x) + 1)

\frac{d}{d x} (sin^{2} (x) + 1) = sin (2 x)

= 5 (sin^{2} (x) + 1)^{4} sin (2 x)

Graph

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