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Popular >

extreme f(x)=-1/2 x^2+4x-2

Solution

extreme points

f (x) = - \frac{1}{2} x^{2} + 4 x - 2

Solution

Maximum (4, 6)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 4,

Decreasing

: 4 < x < \infty

Plug

x = 4

into

- \frac{1}{2} x^{2} + 4 x - 2 : 6

Maximum (4, 6)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=-1/2 x^2+4x-2 ?
The extreme f(x)=-1/2 x^2+4x-2 is Maximum(4,6)