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Beliebt Rechnen >

derivative of 10000-9000e^{-0.3x}

Lösung

\frac{d}{d x} (10000 - 9000 e^{- 0.3 x})

Lösung

2700 e^{- 0.3 x}

Schritte zur Lösung

\frac{d}{d x} (10000 - 9000 e^{- 0.3 x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (10000) - \frac{d}{d x} (9000 e^{- 0.3 x})

\frac{d}{d x} (10000) = 0

\frac{d}{d x} (9000 e^{- 0.3 x}) = - 2700 e^{- 0.3 x}

= 0 - (- 2700 e^{- 0.3 x})

Vereinfache

= 2700 e^{- 0.3 x}

Graph

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