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Popular >

extreme f(x)=x(22-x)

Solution

extreme points

f (x) = x (22 - x)

Solution

Maximum (11, 121)

Solution steps

f^{'} (x) = - 2 (x - 11)

Find intervals:

Increasing

: - \infty < x < 11,

Decreasing

: 11 < x < \infty

Plug

x = 11

into

x (22 - x) : 121

Maximum (11, 121)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=x(22-x) ?
The extreme f(x)=x(22-x) is Maximum(11,121)