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Beliebt Rechnen >

derivative F(x)=(7x^6+4x^3)^4

Lösung

ableitung von

F (x) = (7 x^{6} + 4 x^{3})^{4}

Lösung

4 (7 x^{6} + 4 x^{3})^{3} (42 x^{5} + 12 x^{2})

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (7 x^{6} + 4 x^{3}) = 42 x^{5} + 12 x^{2}

= 4 (7 x^{6} + 4 x^{3})^{3} (42 x^{5} + 12 x^{2})

Graph

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