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Popular Functions >

extreme f(x)=-6x^2+30x-36

Solution

extreme

Solution

Maximum (\frac{5}{2}, \frac{3}{2})

Solution steps

f^{'} (x) = - 12 x + 30

Find intervals:

Increasing

: - \infty < x < \frac{5}{2},

Decreasing

: \frac{5}{2} < x < \infty

Plug

x = \frac{5}{2}

into

- 6 x^{2} + 30 x - 36 : \frac{3}{2}

Maximum (\frac{5}{2}, \frac{3}{2})

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=-6x^2+30x-36 ?
The extreme f(x)=-6x^2+30x-36 is Maximum(5/2 , 3/2)