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Popular Functions >

extreme f(x)=4-5x+x^2

Solution

extreme

Solution

Minimum (\frac{5}{2}, - \frac{9}{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

4 - 5 x + x^{2} : - \frac{9}{4}

Minimum (\frac{5}{2}, - \frac{9}{4})

Graph

Popular Examples

extreme f(x,y)=x^2+xy+y^2-19y+120

extreme f(x)=5-4x-x^3

extreme f(x)=x^3+6x^2-5,-5<= x<= 2

extreme f(x)=(-x^6-5x^3+5x)/(x^2+2)

extreme f(x)=x^{-1/3}(x+2)

Frequently Asked Questions (FAQ)

What is the extreme f(x)=4-5x+x^2 ?
The extreme f(x)=4-5x+x^2 is Minimum(5/2 ,-9/4)