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Popular >

extreme f(x)=-25(x-9)^2+200

Solution

extreme points

f (x) = - 25 (x - 9)^{2} + 200

Solution

Maximum (9, 200)

Solution steps

f^{'} (x) = - 50 x + 450

Find intervals:

Increasing

: - \infty < x < 9,

Decreasing

: 9 < x < \infty

Plug

x = 9

into

- 25 (x - 9)^{2} + 200 : 200

Maximum (9, 200)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=-25(x-9)^2+200 ?
The extreme f(x)=-25(x-9)^2+200 is Maximum(9,200)