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Beliebt Rechnen >

derivative of x^9+9^x

Lösung

\frac{d}{d x} (x^{9} + 9^{x})

Lösung

9 x^{8} + 2 ln (3) \cdot 9^{x}

Schritte zur Lösung

\frac{d}{d x} (x^{9} + 9^{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{9}) + \frac{d}{d x} (9^{x})

\frac{d}{d x} (x^{9}) = 9 x^{8}

\frac{d}{d x} (9^{x}) = 2 ln (3) \cdot 9^{x}

= 9 x^{8} + 2 ln (3) \cdot 9^{x}

Graph

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