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Popular >

extreme f(x)=(x-2)e^x+2

Solution

extreme points

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

Solution

Minimum (1, - e + 2)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

(x - 2) e^{x} + 2 : - e + 2

Minimum (1, - e + 2)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x-2)e^x+2 ?
The extreme f(x)=(x-2)e^x+2 is Minimum(1,-e+2)