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Popular >

extreme f(x)=-1/2 x^2+2x+3

Solution

extreme points

f (x) = - \frac{1}{2} x^{2} + 2 x + 3

Solution

Maximum (2, 5)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = 2

into

- \frac{1}{2} x^{2} + 2 x + 3 : 5

Maximum (2, 5)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=-1/2 x^2+2x+3 ?
The extreme f(x)=-1/2 x^2+2x+3 is Maximum(2,5)