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Popular >

extreme f(x)=9x^2-27x+6

Solution

extreme points

f (x) = 9 x^{2} - 27 x + 6

Solution

Minimum (\frac{3}{2}, - \frac{57}{4})

Solution steps

f^{'} (x) = 18 x - 27

Find intervals:

Decreasing

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

Increasing

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

Plug

x = \frac{3}{2}

into

9 x^{2} - 27 x + 6 : - \frac{57}{4}

Minimum (\frac{3}{2}, - \frac{57}{4})

Popular Examples

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=9x^2-27x+6 ?
The extreme f(x)=9x^2-27x+6 is Minimum(3/2 ,-57/4)