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Beliebt Rechnen >

derivative y=(5x+2)^5

Lösung

ableitung von

y = (5 x + 2)^{5}

Lösung

25 (5 x + 2)^{4}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (5 x + 2) = 5

= 5 (5 x + 2)^{4} \cdot 5

Vereinfache

= 25 (5 x + 2)^{4}

Graph

Beliebte Beispiele

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\frac{d}{d x} (\frac{3}{4 x ^{\frac{5}{2}}})

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\int_{1}^{7} \frac{3}{x ^{2}} d x

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x \to 0 lim (x sin (\frac{2}{x}))