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Popular >

extreme e^{-(x^2)/2}

Solution

extreme points

e^{- \frac{x ^{2}}{2}}

Solution

Maximum (0, 1)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

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

Maximum (0, 1)

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Frequently Asked Questions (FAQ)

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