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Beliebt Rechnen >

derivative of x^3(5.4^x)

Lösung

\frac{d}{d x} (x^{3} (5.4)^{x})

Lösung

3 x^{2} \cdot 5. 4^{x} + 1.68639 \dots \cdot 5. 4^{x} x^{3}

Schritte zur Lösung

\frac{d}{d x} (x^{3} (5.4)^{x})

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{3}, g = 5. 4^{x}

= \frac{d}{d x} (x^{3}) 5. 4^{x} + \frac{d}{d x} (5. 4^{x}) x^{3}

\frac{d}{d x} (x^{3}) = 3 x^{2}

\frac{d}{d x} (5. 4^{x}) = 1.68639 \dots \cdot 5. 4^{x}

= 3 x^{2} \cdot 5. 4^{x} + 1.68639 \dots \cdot 5. 4^{x} x^{3}

Graph

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