What is the extreme y=-(4x)/(x^2+1) ?

The extreme y=-(4x)/(x^2+1) is Maximum(-1,2),Minimum(1,-2)

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

extreme

Maximum (- 1, 2), Minimum (1, - 2)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

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

Maximum (- 1, 2)

Plug

x = 1

into

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

Minimum (1, - 2)

Maximum (- 1, 2), Minimum (1, - 2)

What is the extreme y=-(4x)/(x^2+1) ?
The extreme y=-(4x)/(x^2+1) is Maximum(-1,2),Minimum(1,-2)