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Popular >

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

Solution

extreme points

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

Solution

Minimum (0, 0)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 0,

Increasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 0

into

\frac{x ^{2}}{1 - x ^{2}} : 0

Minimum (0, 0)

Popular Examples

extreme f(x)=-6x^2+84x+1000 extreme points

f (x) = - 6 x^{2} + 84 x + 1000

extreme f(x)=(4x)/(x^2+1),-3<= x<= 3 extreme points

f (x) = \frac{4 x}{x ^{2} + 1}, - 3 \leq x \leq 3

extreme f(x)=(4x)/(x^2+1),-3<= x<= 0 extreme points

f (x) = \frac{4 x}{x ^{2} + 1}, - 3 \leq x \leq 0

extreme f(x)=(4x+9)/(x^2+9)extreme points

f (x) = \frac{4 x + 9}{x ^{2} + 9}

extreme f(x,y)=2xy-1 extreme points

f (x, y) = 2 x y - 1

Frequently Asked Questions (FAQ)

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