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Popular >

extreme f(x)=5x-x^2

Solution

extreme points

f (x) = 5 x - x^{2}

Solution

Maximum (\frac{5}{2}, \frac{25}{4})

Solution steps

f^{'} (x) = 5 - 2 x

Find intervals:

Increasing

: - \infty < x < \frac{5}{2},

Decreasing

: \frac{5}{2} < x < \infty

Plug

x = \frac{5}{2}

into

5 x - x^{2} : \frac{25}{4}

Maximum (\frac{5}{2}, \frac{25}{4})

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=5x-x^2 ?
The extreme f(x)=5x-x^2 is Maximum(5/2 , 25/4)