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Popular >

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

Solution

extreme points

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

Solution

Minimum (\frac{1}{2}, \frac{19}{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

5 - x + x^{2} : \frac{19}{4}

Minimum (\frac{1}{2}, \frac{19}{4})

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f (x) = 5 sin^{2} (x)

Frequently Asked Questions (FAQ)

What is the extreme f(x)=5-x+x^2 ?
The extreme f(x)=5-x+x^2 is Minimum(1/2 , 19/4)