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Popular >

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

Solution

extreme points

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

Solution

Minimum (0, 4)

Solution steps

f^{'} (x) = \frac{6 x}{( x ^{2} - 1 ) ^{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} - 4}{x ^{2} - 1} : 4

Minimum (0, 4)

Popular Examples

extreme (4x^2)/(x^2-25)extreme points

\frac{4 x ^{2}}{x ^{2} - 25}

extreme f(x,y)=x^2-y^2-x-y extreme points

f (x, y) = x^{2} - y^{2} - x - y

extreme f(x,y)=x^3+y^3-3xy+1 extreme points

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

extreme f(x)=sqrt(x^2+36)extreme points

f (x) = x^{2} + 36

extreme y=3x^2+12x extreme points

y = 3 x^{2} + 12 x

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x^2-4)/(x^2-1) ?
The extreme f(x)=(x^2-4)/(x^2-1) is Minimum(0,4)