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Beliebt Rechnen >

derivative of 2-e^{-x}

Lösung

\frac{d}{d x} (2 - e^{- x})

Lösung

e^{- x}

Schritte zur Lösung

\frac{d}{d x} (2 - e^{- x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2) - \frac{d}{d x} (e^{- x})

\frac{d}{d x} (2) = 0

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

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

Vereinfache

= e^{- x}

Graph

Beliebte Beispiele

sum from n=0 to infinity of 1/(2^{2n+1)}

n = 0 \sum \infty \frac{1}{2 ^{2 n + 1}}

limit as x approaches infinity of 1

x \to \infty lim (1)

integral of (2t)/(t^2+1)

\int \frac{2 t}{t ^{2} + 1} d t

derivative f(x)=|2x-3|

d er i v a t i v e f (x) = ∣ 2 x - 3 ∣

f(x)=-sin(x^2)*2x

f (x) = - sin (x^{2}) \cdot 2 x