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Popular Functions >

extreme 30x-28ln(x)

Solution

extreme points

30 x - 28 ln (x)

Solution

Minimum (\frac{14}{15}, 28 - 28 ln (\frac{14}{15}))

Solution steps

f^{'} (x) = 30 - \frac{28}{x}

Find intervals:

Decreasing

: 0 < x < \frac{14}{15},

Increasing

: \frac{14}{15} < x < \infty

Plug

x = \frac{14}{15}

into

30 x - 28 ln (x) : 28 - 28 ln (\frac{14}{15})

Minimum (\frac{14}{15}, 28 - 28 ln (\frac{14}{15}))

Graph

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Frequently Asked Questions (FAQ)

What is the extreme 30x-28ln(x) ?
The extreme 30x-28ln(x) is Minimum(14/15 ,28-28ln(14/15))