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Popular >

extreme e^{-2.5x^2}

Solution

extreme points

e^{- 2.5 x^{2}}

Solution

Maximum (0, 1)

Solution steps

f^{'} (x) = - 5 e^{- 2.5 x^{2}} x

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

e^{- 2.5 x^{2}} : 1

Maximum (0, 1)

Popular Examples

extreme f(x)=-2x^3+18x^2-48x+19 extreme points

f (x) = - 2 x^{3} + 18 x^{2} - 48 x + 19

extreme f(x)=|x^2-1|extreme points

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

extreme f(x)=sin(4x)extreme points

f (x) = sin (4 x)

extreme f(x)=x+2y extreme points

f (x) = x + 2 y

extreme f(x)=-x^3+3x-7 extreme points

f (x) = - x^{3} + 3 x - 7

Frequently Asked Questions (FAQ)

What is the extreme e^{-2.5x^2} ?
The extreme e^{-2.5x^2} is Maximum(0,1)