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Popular >

extreme ln(x)-3x+2

Solution

extreme points

ln (x) - 3 x + 2

Solution

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

Solution steps

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

Find intervals:

Increasing

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

Decreasing

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

Plug

x = \frac{1}{3}

into

ln (x) - 3 x + 2 : - ln (3) + 1

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

Popular Examples

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- 3 x^{2} + 5 x y - 2 y^{2} + x + y

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f (x) = - x^{2} + 6 x + 1, 5 \leq x \leq 8

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f (x) = x^{3} + 2 x^{2} - 4 x + 8

Frequently Asked Questions (FAQ)

What is the extreme ln(x)-3x+2 ?
The extreme ln(x)-3x+2 is Maximum(1/3 ,-ln(3)+1)