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Popular >

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

Solution

extreme points

\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)

Graph

Popular Examples

extreme f(x)=(x+2)^{4/3},-6<= x<= 6 extreme points

f (x) = (x + 2)^{\frac{4}{3}}, - 6 \leq x \leq 6

extreme f(x)=-x^3+15x^2 extreme points

f (x) = - x^{3} + 15 x^{2}

extreme f(x)=(x^2-14x+49)/(x-10)extreme points

f (x) = \frac{x ^{2} - 14 x + 49}{x - 10}

extreme f(x)=e^{x^3-12x}extreme points

f (x) = e^{x^{3} - 12 x}

extreme (x-8x^2)^{1/3}extreme points

(x - 8 x^{2})^{\frac{1}{3}}

Frequently Asked Questions (FAQ)

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