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Popular Functions >

extreme f(x)=1+5x+x^2

Solution

extreme points

f (x) = 1 + 5 x + x^{2}

Solution

Minimum (- \frac{5}{2}, - \frac{21}{4})

Solution steps

f^{'} (x) = 2 x + 5

Find intervals:

Decreasing

: - \infty < x < - \frac{5}{2},

Increasing

: - \frac{5}{2} < x < \infty

Plug

x = - \frac{5}{2}

into

1 + 5 x + x^{2} : - \frac{21}{4}

Minimum (- \frac{5}{2}, - \frac{21}{4})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=1+5x+x^2 ?
The extreme f(x)=1+5x+x^2 is Minimum(-5/2 ,-21/4)