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Popular >

extreme f(x)= 3/(1-x^2)

Solution

extreme points

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

Solution

Minimum (0, 3)

Solution steps

f^{'} (x) = \frac{6 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{3}{1 - x ^{2}} : 3

Minimum (0, 3)

Popular Examples

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f (x) = 5 x^{\frac{2}{3}} + 9

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

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

extreme x^2+x-6 extreme points

x^{2} + x - 6

extreme f(x)= 7/4 x^2-21/2 x+51/4 extreme points

f (x) = \frac{7}{4} x^{2} - \frac{21}{2} x + \frac{51}{4}

Frequently Asked Questions (FAQ)

What is the extreme f(x)= 3/(1-x^2) ?
The extreme f(x)= 3/(1-x^2) is Minimum(0,3)