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Popular Functions >

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

Solution

extreme

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

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

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

Graph

Popular Examples

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extreme f(x,y)=2x^2-x^4+3y^2-y^3

extreme f(x)=2sin(x)cos(x)

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

Frequently Asked Questions (FAQ)

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