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Beliebt Rechnen >

derivative of (7x^4+10^5)

Lösung

\frac{d}{d x} ((7 x^{4} + 10)^{5})

Lösung

140 x^{3} (7 x^{4} + 10)^{4}

Schritte zur Lösung

\frac{d}{d x} ((7 x^{4} + 10)^{5})

Wende die Kettenregel an:

5 (7 x^{4} + 10)^{4} \frac{d}{d x} (7 x^{4} + 10)

= 5 (7 x^{4} + 10)^{4} \frac{d}{d x} (7 x^{4} + 10)

\frac{d}{d x} (7 x^{4} + 10) = 28 x^{3}

= 5 (7 x^{4} + 10)^{4} \cdot 28 x^{3}

Vereinfache

= 140 x^{3} (7 x^{4} + 10)^{4}

Graph

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