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Popular >

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

Solution

extreme points

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

Solution

Minimum (- 2, - \frac{1}{4})

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 2,

Increasing

: - 2 < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = - 2

into

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

Minimum (- 2, - \frac{1}{4})

Popular Examples

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

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

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

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

extreme f(x)=x^4-16x^3 extreme points

f (x) = x^{4} - 16 x^{3}

extreme f(x)=(2^2)/(2^4+16)extreme points

f (x) = \frac{2 ^{2}}{2 ^{4} + 16}

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

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

Frequently Asked Questions (FAQ)

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