What is the monotone f(x)=(e^x)/(x^2) ?

The monotone f(x)=(e^x)/(x^2) is Increasing:-infinity <x<0,Decreasing:0<x<2,Increasing:2<x<infinity

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monotone f(x)=(e^x)/(x^2)

monotone intervals

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

Increasing : - \infty < x < 0, Decreasing : 0 < x < 2, Increasing : 2 < x < \infty

Solution steps

f^{'} (x) = \frac{e ^{x} ( x - 2 )}{x ^{3}}

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Increasing : - \infty < x < 0, Decreasing : 0 < x < 2, Increasing : 2 < x < \infty

0.1 X^{5} - 4 X^{3} + 150 X + 100

y = 8 x - ln (8 x)

\frac{9}{x ^{2} + 2 x}

f (x) = 2 x^{3} + 6 x^{2} - 18 x

cos (x^{2}) + 5 cot (x)

What is the monotone f(x)=(e^x)/(x^2) ?
The monotone f(x)=(e^x)/(x^2) is Increasing:-infinity <x<0,Decreasing:0<x<2,Increasing:2<x<infinity