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Beliebt Rechnen >

derivative of (e^{x-2}/x)

Lösung

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

Lösung

\frac{e ^{x - 2} x - e ^{x - 2}}{x ^{2}}

Schritte zur Lösung

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

Wende die Quotientenregel an:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

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

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

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

= \frac{e ^{x - 2} x - 1 \cdot e ^{x - 2}}{x ^{2}}

Vereinfache

= \frac{e ^{x - 2} x - e ^{x - 2}}{x ^{2}}

Graph

Beliebte Beispiele

integral of (2x)/(sqrt(9-4x^2))

\int \frac{2 x}{9 - 4 x ^{2}} d x

derivative of 2-2sin(x)

\frac{d}{d x} (2 - 2 sin (x))

integral from 1 to 4 of (4x^2)

\int_{1}^{4} (4 x^{2}) d x

steigung (-3.1)(0.3)

s l o p e (- 3.1) (0.3)

derivative 4arcsin(x)

d er i v a t i v e 4 arcsin (x)