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Beliebt Rechnen >

derivative cos((2x^2+1)^7)

Lösung

ableitung von

cos ((2 x^{2} + 1)^{7})

Lösung

- sin ((2 x^{2} + 1)^{7}) \cdot 28 x (2 x^{2} + 1)^{6}

Schritte zur Lösung

\frac{d}{d x} (cos ((2 x^{2} + 1)^{7}))

Wende die Kettenregel an:

- sin ((2 x^{2} + 1)^{7}) \frac{d}{d x} ((2 x^{2} + 1)^{7})

= - sin ((2 x^{2} + 1)^{7}) \frac{d}{d x} ((2 x^{2} + 1)^{7})

\frac{d}{d x} ((2 x^{2} + 1)^{7}) = 28 x (2 x^{2} + 1)^{6}

= - sin ((2 x^{2} + 1)^{7}) \cdot 28 x (2 x^{2} + 1)^{6}

Graph

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