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Popular >

extreme f(x)=e^{-1.5x^2}

Solution

extreme points

f (x) = e^{- 1.5 x^{2}}

Solution

Maximum (0, 1)

Solution steps

f^{'} (x) = - 3 e^{- 1.5 x^{2}} x

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

e^{- 1.5 x^{2}} : 1

Maximum (0, 1)

Popular Examples

extreme f(x)=x^3-9x^2+24x-2 extreme points

f (x) = x^{3} - 9 x^{2} + 24 x - 2

extreme f(x,y)=2x^2+3xy+4y^2+7x+11y extreme points

f (x, y) = 2 x^{2} + 3 x y + 4 y^{2} + 7 x + 11 y

extreme f(x)=x^4-5x^2 extreme points

f (x) = x^{4} - 5 x^{2}

extreme f(x)=2x^2-8x+y^2+16y+100 extreme points

f (x) = 2 x^{2} - 8 x + y^{2} + 16 y + 100

extreme f(x,y)=2x^3+9xy^2+15x^2+27y^2 extreme points

f (x, y) = 2 x^{3} + 9 x y^{2} + 15 x^{2} + 27 y^{2}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=e^{-1.5x^2} ?
The extreme f(x)=e^{-1.5x^2} is Maximum(0,1)