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Popular >

extreme f(x)=4+x-x^2

Solution

extreme points

f (x) = 4 + x - x^{2}

Solution

Maximum (\frac{1}{2}, \frac{17}{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

4 + x - x^{2} : \frac{17}{4}

Maximum (\frac{1}{2}, \frac{17}{4})

Graph

Popular Examples

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y = x - 3

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f (x, y) = \frac{1}{( x - y )}

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y = 2 z x

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extreme f(x)=2x^2-8x+2,0<= x<= 5 extreme points

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=4+x-x^2 ?
The extreme f(x)=4+x-x^2 is Maximum(1/2 , 17/4)