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Popular >

extreme (x^3+1)/(x+1)

Solution

extreme points

\frac{x ^{3} + 1}{x + 1}

Solution

Minimum (\frac{1}{2}, \frac{3}{4})

Solution steps

f^{'} (x) = 2 x - 1

Find intervals:

Decreasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < \frac{1}{2},

Increasing

: \frac{1}{2} < x < \infty

Plug

x = \frac{1}{2}

into

\frac{x ^{3} + 1}{x + 1} : \frac{3}{4}

Minimum (\frac{1}{2}, \frac{3}{4})

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Frequently Asked Questions (FAQ)

What is the extreme (x^3+1)/(x+1) ?
The extreme (x^3+1)/(x+1) is Minimum(1/2 , 3/4)