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Popular >

extreme y=5x-x^2+66

Solution

extreme points

y = 5 x - x^{2} + 66

Solution

Maximum (\frac{5}{2}, \frac{289}{4})

Solution steps

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

Find intervals:

Increasing

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

Decreasing

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

Plug

x = \frac{5}{2}

into

5 x - x^{2} + 66 : \frac{289}{4}

Maximum (\frac{5}{2}, \frac{289}{4})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme y=5x-x^2+66 ?
The extreme y=5x-x^2+66 is Maximum(5/2 , 289/4)