What is the monotone e^{1/x} ?

The monotone e^{1/x} is Decreasing:-infinity <x<0,Decreasing:0<x<infinity

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monotone e^{1/x}

monotone intervals

e^{\frac{1}{x}}

Decreasing : - \infty < x < 0, Decreasing : 0 < x < \infty

Solution steps

f^{'} (x) = - \frac{e ^{\frac{1}{x}}}{x ^{2}}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Decreasing : - \infty < x < 0, Decreasing : 0 < x < \infty

What is the monotone e^{1/x} ?
The monotone e^{1/x} is Decreasing:-infinity <x<0,Decreasing:0<x<infinity