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Beliebt Rechnen >

derivative (1.01)^x+0.33^x

Lösung

ableitung von

(1.01)^{x} + 0.3 3^{x}

Lösung

0.00995 \dots \cdot 1.0 1^{x} - 1.10866 \dots \cdot 0.3 3^{x}

Schritte zur Lösung

\frac{d}{d x} (1.0 1^{x} + 0.3 3^{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (1.0 1^{x}) + \frac{d}{d x} (0.3 3^{x})

\frac{d}{d x} (1.0 1^{x}) = 0.00995 \dots \cdot 1.0 1^{x}

\frac{d}{d x} (0.3 3^{x}) = - 1.10866 \dots \cdot 0.3 3^{x}

= 0.00995 \dots \cdot 1.0 1^{x} - 1.10866 \dots \cdot 0.3 3^{x}

Graph

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