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Popular >

extreme ln(x)-7x+11

Solution

extreme points

ln (x) - 7 x + 11

Solution

Maximum (\frac{1}{7}, - ln (7) + 10)

Solution steps

f^{'} (x) = \frac{1}{x} - 7

Find intervals:

Increasing

: 0 < x < \frac{1}{7},

Decreasing

: \frac{1}{7} < x < \infty

Plug

x = \frac{1}{7}

into

ln (x) - 7 x + 11 : - ln (7) + 10

Maximum (\frac{1}{7}, - ln (7) + 10)

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Frequently Asked Questions (FAQ)

What is the extreme ln(x)-7x+11 ?
The extreme ln(x)-7x+11 is Maximum(1/7 ,-ln(7)+10)