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Popular >

extreme f(x)=x^2+x+3

Solution

extreme points

f (x) = x^{2} + x + 3

Solution

Minimum (- \frac{1}{2}, \frac{11}{4})

Solution steps

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

Find intervals:

Decreasing

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

Increasing

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

Plug

x = - \frac{1}{2}

into

x^{2} + x + 3 : \frac{11}{4}

Minimum (- \frac{1}{2}, \frac{11}{4})

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^2+x+3 ?
The extreme f(x)=x^2+x+3 is Minimum(-1/2 , 11/4)