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Popular >

extreme f(x)=-(x-1)^2+10

Solution

extreme points

f (x) = - (x - 1)^{2} + 10

Solution

Maximum (1, 10)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

- (x - 1)^{2} + 10 : 10

Maximum (1, 10)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=-(x-1)^2+10 ?
The extreme f(x)=-(x-1)^2+10 is Maximum(1,10)