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Popular >

extreme e^{-1.5x^2}

Solution

extreme points

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^3-3/2 x^2,-5<= x<= 6 extreme points

f (x) = x^{3} - \frac{3}{2} x^{2}, - 5 \leq x \leq 6

extreme f(x)=(2+x^2)/(x^2-1)extreme points

f (x) = \frac{2 + x ^{2}}{x ^{2} - 1}

extreme f(x,y)=-x^2-y^2+8x+6y extreme points

f (x, y) = - x^{2} - y^{2} + 8 x + 6 y

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

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

extreme f(x,y)=2x+4y-x^2y^4 extreme points

f (x, y) = 2 x + 4 y - x^{2} y^{4}

Frequently Asked Questions (FAQ)

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