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Popular >

extreme f(x)=e^{-x^4}

Solution

extreme points

f (x) = e^{- x^{4}}

Solution

Maximum (0, 1)

Solution steps

f^{'} (x) = - 4 e^{- x^{4}} x^{3}

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = 0

into

e^{- x^{4}} : 1

Maximum (0, 1)

Graph

Popular Examples

extreme f(x)=(x^5-2x^4-x^3+2x^2)/(x^4+2)extreme points

f (x) = \frac{x ^{5} - 2 x ^{4} - x ^{3} + 2 x ^{2}}{x ^{4} + 2}

extreme f(x,y)=(xy)/(1+x^2+y^2)extreme points

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

extreme f(x)=-(140x)/((x+2)^3)extreme points

f (x) = - \frac{140 x}{( x + 2 ) ^{3}}

extreme x^3-4x^2+3x extreme points

x^{3} - 4 x^{2} + 3 x

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

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)=e^{-x^4} ?
The extreme f(x)=e^{-x^4} is Maximum(0,1)