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Popular >

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

Solution

extreme points

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

Solution

Maximum (2, \frac{1}{4})

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = 2

into

\frac{x - 1}{x ^{2}} : \frac{1}{4}

Maximum (2, \frac{1}{4})

Popular Examples

extreme f(x,y)=-5x^2+4xy-y^2+16x+10 extreme points

f (x, y) = - 5 x^{2} + 4 x y - y^{2} + 16 x + 10

extreme f(x,y)=(sqrt(y))/x extreme points

f (x, y) = \frac{y}{x}

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

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

extreme f(x)=x^3+7x^2-5x extreme points

f (x) = x^{3} + 7 x^{2} - 5 x

extreme f(x)=x^4-4x^3+9x+1 extreme points

f (x) = x^{4} - 4 x^{3} + 9 x + 1

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x-1)/(x^2) ?
The extreme f(x)=(x-1)/(x^2) is Maximum(2, 1/4)