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Popular >

extreme f(x)=8ln(x)-x^2

Solution

extreme points

f (x) = 8 ln (x) - x^{2}

Solution

Maximum (2, 8 ln (2) - 4)

Solution steps

f^{'} (x) = \frac{8}{x} - 2 x

Find intervals:

Increasing

: 0 < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = 2

into

8 ln (x) - x^{2} : 8 ln (2) - 4

Maximum (2, 8 ln (2) - 4)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=8ln(x)-x^2 ?
The extreme f(x)=8ln(x)-x^2 is Maximum(2,8ln(2)-4)