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Popular Functions >

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

Solution

extreme points

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

Solution

Maximum (- \frac{1}{2}, \frac{25}{4})

Solution steps

f^{'} (x) = - 2 x - 1

Find intervals:

Increasing

: - \infty < x < - \frac{1}{2},

Decreasing

: - \frac{1}{2} < x < \infty

Plug

x = - \frac{1}{2}

into

- x^{2} - x + 6 : \frac{25}{4}

Maximum (- \frac{1}{2}, \frac{25}{4})

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=-x^2-x+6 ?
The extreme f(x)=-x^2-x+6 is Maximum(-1/2 , 25/4)