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Beliebt Rechnen >

derivative y=(4x-e^{3x})^9

Lösung

ableitung von

y = (4 x - e^{3 x})^{9}

Lösung

9 (4 x - e^{3 x})^{8} (4 - e^{3 x} \cdot 3)

Schritte zur Lösung

\frac{d}{d x} ((4 x - e^{3 x})^{9})

Wende die Kettenregel an:

9 (4 x - e^{3 x})^{8} \frac{d}{d x} (4 x - e^{3 x})

= 9 (4 x - e^{3 x})^{8} \frac{d}{d x} (4 x - e^{3 x})

\frac{d}{d x} (4 x - e^{3 x}) = 4 - e^{3 x} \cdot 3

= 9 (4 x - e^{3 x})^{8} (4 - e^{3 x} \cdot 3)

Graph

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