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Popular Functions >

extreme y=-x^2+27x-54

Solution

extreme points

y = - x^{2} + 27 x - 54

Solution

Maximum (\frac{27}{2}, \frac{513}{4})

Solution steps

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

Find intervals:

Increasing

: - \infty < x < \frac{27}{2},

Decreasing

: \frac{27}{2} < x < \infty

Plug

x = \frac{27}{2}

into

- x^{2} + 27 x - 54 : \frac{513}{4}

Maximum (\frac{27}{2}, \frac{513}{4})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme y=-x^2+27x-54 ?
The extreme y=-x^2+27x-54 is Maximum(27/2 , 513/4)