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Popular >

extreme f(x)=-x^2+2x+6

Solution

extreme points

f (x) = - x^{2} + 2 x + 6

Solution

Maximum (1, 7)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

- x^{2} + 2 x + 6 : 7

Maximum (1, 7)

Popular Examples

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=-x^2+2x+6 ?
The extreme f(x)=-x^2+2x+6 is Maximum(1,7)