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Popular Functions >

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

Solution

extreme

Solution

Minimum (0, - 4)

Solution steps

f^{'} (x) = \frac{10 x}{( x ^{2} + 1 ) ^{2}}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

\frac{x ^{2} - 4}{x ^{2} + 1} : - 4

Minimum (0, - 4)

Graph

Popular Examples

extreme f(x)=6-3x^2-x^3

extreme 12x^5+120x^4-300x^3

extreme f(x,y)=x^2y+2xy^2-6xy-4

extreme f(x,y)=12xy+4321

extreme f(x)=5x+9

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)