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Popular >

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

Solution

extreme points

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

Solution

Maximum (- \frac{9}{2}, \frac{117}{4})

Solution steps

f^{'} (x) = - 2 x - 9

Find intervals:

Increasing

: - \infty < x < - \frac{9}{2},

Decreasing

: - \frac{9}{2} < x < \infty

Plug

x = - \frac{9}{2}

into

- x^{2} - 9 x + 9 : \frac{117}{4}

Maximum (- \frac{9}{2}, \frac{117}{4})

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=-x^2-9x+9 ?
The extreme f(x)=-x^2-9x+9 is Maximum(-9/2 , 117/4)