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Popular Functions >

extreme-3x+ln(x)

Solution

extreme

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

extreme f(x)=52(70-x)

extreme f(x)=x^{11}-9x^7+5x-3

extreme f(x)=x^2+y^2-2x-2y+3

extreme f(x)=2x^2+3x-1

extreme f(x)=ln(6-ln(x))

Frequently Asked Questions (FAQ)

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