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Popular >

extreme x(3-x)

Solution

extreme points

x (3 - x)

Solution

Maximum (\frac{3}{2}, \frac{9}{4})

Solution steps

f^{'} (x) = 3 - 2 x

Find intervals:

Increasing

: - \infty < x < \frac{3}{2},

Decreasing

: \frac{3}{2} < x < \infty

Plug

x = \frac{3}{2}

into

x (3 - x) : \frac{9}{4}

Maximum (\frac{3}{2}, \frac{9}{4})

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Frequently Asked Questions (FAQ)

What is the extreme x(3-x) ?
The extreme x(3-x) is Maximum(3/2 , 9/4)