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Popular >

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

Solution

extreme points

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

Solution

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

Solution steps

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

Find intervals:

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = 2

into

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

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

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Frequently Asked Questions (FAQ)

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