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Popular >

extreme f(x)=-x^2+4x+9

Solution

extreme points

f (x) = - x^{2} + 4 x + 9

Solution

Maximum (2, 13)

Solution steps

f^{'} (x) = - 2 x + 4

Find intervals:

Increasing

: - \infty < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = 2

into

- x^{2} + 4 x + 9 : 13

Maximum (2, 13)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=-x^2+4x+9 ?
The extreme f(x)=-x^2+4x+9 is Maximum(2,13)