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Beliebt Rechnen >

derivative of (7x^6+8x^3^4)

Lösung

\frac{d}{d x} ((7 x^{6} + 8 x^{3})^{4})

Lösung

4 (7 x^{6} + 8 x^{3})^{3} (42 x^{5} + 24 x^{2})

Schritte zur Lösung

\frac{d}{d x} ((7 x^{6} + 8 x^{3})^{4})

Wende die Kettenregel an:

4 (7 x^{6} + 8 x^{3})^{3} \frac{d}{d x} (7 x^{6} + 8 x^{3})

= 4 (7 x^{6} + 8 x^{3})^{3} \frac{d}{d x} (7 x^{6} + 8 x^{3})

\frac{d}{d x} (7 x^{6} + 8 x^{3}) = 42 x^{5} + 24 x^{2}

= 4 (7 x^{6} + 8 x^{3})^{3} (42 x^{5} + 24 x^{2})

Graph

Beliebte Beispiele

steigung (2.9)(5.8)

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