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Popular >

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

Solution

extreme points

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

Solution

Maximum (1, 1)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

2 x - x^{2} : 1

Maximum (1, 1)

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Frequently Asked Questions (FAQ)

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