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Popular >

extreme-3x+ln(x)

Solution

extreme points

- 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))

Popular Examples

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

f (x) = 52 (70 - x)

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

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

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

f (x) = x^{2} + y^{2} - 2 x - 2 y + 3

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

f (x) = 2 x^{2} + 3 x - 1

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

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))