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Popular Functions >

extreme f(x)=x-e^x

Solution

extreme points

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

Solution

Maximum (0, - 1)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

x - e^{x} : - 1

Maximum (0, - 1)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=x-e^x ?
The extreme f(x)=x-e^x is Maximum(0,-1)