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Popular >

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

Solution

extreme points

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

Solution

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

Solution steps

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

Find intervals:

Increasing

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

Decreasing

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

Plug

x = - \frac{1}{2}

into

- x - x^{2} : \frac{1}{4}

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

Popular Examples

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f (x) = 50 x + 40 y

Frequently Asked Questions (FAQ)

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