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Popular Functions >

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

Solution

extreme points

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

Solution

Maximum (0, 1)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

e^{- x^{2}} : 1

Maximum (0, 1)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=e^{-x^2} ?
The extreme f(x)=e^{-x^2} is Maximum(0,1)