What is the monotone x^2e^x ?

The monotone x^2e^x is Increasing:-infinity <x<-2,Decreasing:-2<x<0,Increasing:0<x<infinity

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monotone x^2e^x

monotone intervals

x^{2} e^{x}

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

Solution steps

f^{'} (x) = 2 x e^{x} + e^{x} x^{2}

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 0,

Increasing

: 0 < x < \infty

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

\frac{1}{4 x - 3}

4 x - 2 y = 1

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

x 25 - x^{2}

f (x) = 4 (x + 3)^{2} - 8

What is the monotone x^2e^x ?
The monotone x^2e^x is Increasing:-infinity <x<-2,Decreasing:-2<x<0,Increasing:0<x<infinity