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Popular >

extreme 2x+sqrt(1-2x)

Solution

extreme points

2 x + 1 - 2 x

Solution

Maximum (\frac{3}{8}, \frac{5}{4})

Solution steps

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

Find intervals:

Decreasing

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

Increasing

: - \frac{3}{2} < x \leq \frac{1}{2}

Plug

x = \frac{3}{8}

into

2 x + 1 - 2 x : \frac{5}{4}

Maximum (\frac{3}{8}, \frac{5}{4})

Popular Examples

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Frequently Asked Questions (FAQ)

What is the extreme 2x+sqrt(1-2x) ?
The extreme 2x+sqrt(1-2x) is Maximum(3/8 , 5/4)