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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)=3-sqrt(25-(x-2)^2-4(y+1)^2)extreme points

f (x, y) = 3 - 25 - (x - 2)^{2} - 4 (y + 1)^{2}

extreme f(x)=4x^2-1/x extreme points

f (x) = 4 x^{2} - \frac{1}{x}

extreme f(x)=xe^{(x/2)},-3<= x<= 1 extreme points

f (x) = x e^{(\frac{x}{2})}, - 3 \leq x \leq 1

extreme f(x)=(x^2)/(x^2-64)extreme points

f (x) = \frac{x ^{2}}{x ^{2} - 64}

extreme f(x)=-x-((64)/x)extreme points

f (x) = - x - (\frac{64}{x})

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)