What is the monotone f(x)=3e^{x^2-4x} ?

The monotone f(x)=3e^{x^2-4x} is Decreasing:-infinity <x<2,Increasing:2<x<infinity

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monotone f(x)=3e^{x^2-4x}

monotone intervals

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

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

Solution steps

f^{'} (x) = 3 e^{x^{2} - 4 x} (2 x - 4)

Find intervals:

Decreasing

: - \infty < x < 2,

Increasing

: 2 < x < \infty

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

What is the monotone f(x)=3e^{x^2-4x} ?
The monotone f(x)=3e^{x^2-4x} is Decreasing:-infinity <x<2,Increasing:2<x<infinity