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Popular >

extreme-x^2+162ln(x)

Solution

extreme points

- x^{2} + 162 ln (x)

Solution

Maximum (9, - 81 + 324 ln (3))

Solution steps

f^{'} (x) = - 2 x + \frac{162}{x}

Find intervals:

Increasing

: 0 < x < 9,

Decreasing

: 9 < x < \infty

Plug

x = 9

into

- x^{2} + 162 ln (x) : - 81 + 324 ln (3)

Maximum (9, - 81 + 324 ln (3))

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Frequently Asked Questions (FAQ)

What is the extreme-x^2+162ln(x) ?
The extreme-x^2+162ln(x) is Maximum(9,-81+324ln(3))