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Popular >

extreme y=-2x^2+10x+1

Solution

extreme points

y = - 2 x^{2} + 10 x + 1

Solution

Maximum (\frac{5}{2}, \frac{27}{2})

Solution steps

f^{'} (x) = - 4 x + 10

Find intervals:

Increasing

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

Decreasing

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

Plug

x = \frac{5}{2}

into

- 2 x^{2} + 10 x + 1 : \frac{27}{2}

Maximum (\frac{5}{2}, \frac{27}{2})

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Frequently Asked Questions (FAQ)

What is the extreme y=-2x^2+10x+1 ?
The extreme y=-2x^2+10x+1 is Maximum(5/2 , 27/2)