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Beliebt Rechnen >

derivative of 6x^7-2x^5+2

Lösung

\frac{d}{d x} (6 x^{7} - 2 x^{5} + 2)

Lösung

42 x^{6} - 10 x^{4}

Schritte zur Lösung

\frac{d}{d x} (6 x^{7} - 2 x^{5} + 2)

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (6 x^{7}) - \frac{d}{d x} (2 x^{5}) + \frac{d}{d x} (2)

\frac{d}{d x} (6 x^{7}) = 42 x^{6}

\frac{d}{d x} (2 x^{5}) = 10 x^{4}

\frac{d}{d x} (2) = 0

= 42 x^{6} - 10 x^{4} + 0

Vereinfache

= 42 x^{6} - 10 x^{4}

Graph

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