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Beliebt Rechnen >

derivative of e^{x-1}-x+1

Lösung

\frac{d}{d x} (e^{x - 1} - x + 1)

Lösung

e^{x - 1} - 1

Schritte zur Lösung

\frac{d}{d x} (e^{x - 1} - x + 1)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (e^{x - 1}) - \frac{d x}{d x} + \frac{d}{d x} (1)

\frac{d}{d x} (e^{x - 1}) = e^{x - 1}

\frac{d x}{d x} = 1

\frac{d}{d x} (1) = 0

= e^{x - 1} - 1 + 0

Vereinfache

= e^{x - 1} - 1

Graph

Beliebte Beispiele

derivative f(x)=x^8e^x

d er i v a t i v e f (x) = x^{8} e^{x}

xy^'+y=e^x,y(1)=5

x y^{^{'}} + y = e^{x}, y (1) = 5

integral from 1 to 5 of sqrt(26)

\int_{1}^{5} 26 d x

t a y l or x^{2} e^{x}

fläche y=4sqrt(x),y=x

a re a y = 4 x, y = x