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Popular Functions >

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

Solution

extreme points

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

Solution

Maximum (- 1, 1)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < \infty

Plug

x = - 1

into

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

Maximum (- 1, 1)

Graph

Popular Examples

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intercepts of f(x)=-3(x-4)^2(x^2-1)

Frequently Asked Questions (FAQ)

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