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Popular >

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

Solution

extreme points

\frac{x ^{2}}{1 + x}

Solution

Maximum (- 2, - 4), Minimum (0, 0)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < - 1,

Decreasing

: - 1 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 2

into

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

Maximum (- 2, - 4)

Plug

x = 0

into

\frac{x ^{2}}{1 + x} : 0

Minimum (0, 0)

Maximum (- 2, - 4), Minimum (0, 0)

Graph

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Frequently Asked Questions (FAQ)

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