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Popular Functions >

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

Solution

extreme

Solution

Maximum (- \frac{1}{2}, \frac{4}{3})

Solution steps

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

Find intervals:

Increasing

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

Decreasing

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

Plug

x = - \frac{1}{2}

into

\frac{1}{x ^{2} + x + 1} : \frac{4}{3}

Maximum (- \frac{1}{2}, \frac{4}{3})

Graph

Popular Examples

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extreme f(x)=(27x^2)/((1-x)^3)

Frequently Asked Questions (FAQ)

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