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Popular >

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

Solution

extreme points

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

Solution

Maximum (\frac{1}{2}, \frac{13}{2})

Solution steps

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

Find intervals:

Increasing

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

Decreasing

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

Plug

x = \frac{1}{2}

into

6 + 2 x - 2 x^{2} : \frac{13}{2}

Maximum (\frac{1}{2}, \frac{13}{2})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=6+2x-2x^2 ?
The extreme f(x)=6+2x-2x^2 is Maximum(1/2 , 13/2)