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Popular >

extreme f(x)=-3x+ln(x)

Solution

extreme points

f (x) = - 3 x + ln (x)

Solution

Maximum (\frac{1}{3}, - 1 - ln (3))

Solution steps

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

Find intervals:

Increasing

: 0 < x < \frac{1}{3},

Decreasing

: \frac{1}{3} < x < \infty

Plug

x = \frac{1}{3}

into

- 3 x + ln (x) : - 1 - ln (3)

Maximum (\frac{1}{3}, - 1 - ln (3))

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

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