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Popular Functions >

extreme (6x)/(x^2+1)

Solution

extreme

Solution

Minimum (- 1, - 3), Maximum (1, 3)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = - 1

into

\frac{6 x}{x ^{2} + 1} : - 3

Minimum (- 1, - 3)

Plug

x = 1

into

\frac{6 x}{x ^{2} + 1} : 3

Maximum (1, 3)

Minimum (- 1, - 3), Maximum (1, 3)

Graph

Popular Examples

extreme f(x)=-sqrt(1-x^2),0<= x<= 1

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

extreme x^2+(400)/x

extreme 0.05x+20+(125)/x

extreme f(x)=(9(t-2)^2)/(t^2)

Frequently Asked Questions (FAQ)

What is the extreme (6x)/(x^2+1) ?
The extreme (6x)/(x^2+1) is Minimum(-1,-3),Maximum(1,3)