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Popular Functions >

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

Solution

extreme

Solution

Minimum (\frac{3}{2}, \frac{11}{4})

Solution steps

f^{'} (x) = 2 x - 3

Find intervals:

Decreasing

: - \infty < x < \frac{3}{2},

Increasing

: \frac{3}{2} < x < \infty

Plug

x = \frac{3}{2}

into

5 - 3 x + x^{2} : \frac{11}{4}

Minimum (\frac{3}{2}, \frac{11}{4})

Graph

Popular Examples

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

extreme xe^{-6x^2}

extreme f(x)=x^4-8x^3+10x^2+1

Frequently Asked Questions (FAQ)

What is the extreme f(x)=5-3x+x^2 ?
The extreme f(x)=5-3x+x^2 is Minimum(3/2 , 11/4)