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Popular >

extreme 1-2/(x^2+1)

Solution

extreme points

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

Solution

Minimum (0, - 1)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

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

Minimum (0, - 1)

Graph

Popular Examples

extreme g(x)=2x^3-6x+3,-2<= x<= 2 extreme points

g (x) = 2 x^{3} - 6 x + 3, - 2 \leq x \leq 2

extreme x((200-x)/2)extreme points

x (\frac{200 - x}{2})

extreme f(x)=4x^5+10x^4-100x^3+1 extreme points

f (x) = 4 x^{5} + 10 x^{4} - 100 x^{3} + 1

extreme 5x(2x+4)-3x extreme points

5 x (2 x + 4) - 3 x

extreme f(x)=-4x^2+48x-108 extreme points

f (x) = - 4 x^{2} + 48 x - 108

Frequently Asked Questions (FAQ)

What is the extreme 1-2/(x^2+1) ?
The extreme 1-2/(x^2+1) is Minimum(0,-1)