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Popular Functions >

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

Solution

extreme

Solution

Maximum (\frac{1}{2}, \frac{9}{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

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

Maximum (\frac{1}{2}, \frac{9}{4})

Graph

Popular Examples

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extreme f(x)=2x^3-9x^2+12x+1

extreme f(x,y)=xy-x^2-y^2+x+y+17

extreme f(x)=50y^2+x^2-x^2y

Frequently Asked Questions (FAQ)

What is the extreme f(x)=2+x-x^2 ?
The extreme f(x)=2+x-x^2 is Maximum(1/2 , 9/4)