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Popular Functions >

extreme f(x)=e^{-(x-1)^2}

Solution

extreme points

f (x) = e^{- (x - 1)^{2}}

Solution

Maximum (1, 1)

Solution steps

f^{'} (x) = e^{- x^{2} + 2 x - 1} (- 2 x + 2)

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

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

Maximum (1, 1)

Graph

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Frequently Asked Questions (FAQ)

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