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Popular >

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

Solution

extreme points

\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

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f (x, y) = \frac{x ^{3}}{3} - x y^{2} + \frac{2 y ^{5}}{5}

extreme z=20x+15y extreme points

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extreme f(x)=-x^2+7x-17 extreme points

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extreme y=In|sec(5x)+tan(5x)|extreme points

y = I n ∣ sec (5 x) + tan (5 x) ∣

extreme f(x)=x^4-5x^3 extreme points

f (x) = x^{4} - 5 x^{3}

Frequently Asked Questions (FAQ)

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