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Popular >

extreme f(x)=5x-ln(x)

Solution

extreme points

f (x) = 5 x - ln (x)

Solution

Minimum (\frac{1}{5}, 1 + ln (5))

Solution steps

f^{'} (x) = 5 - \frac{1}{x}

Find intervals:

Decreasing

: 0 < x < \frac{1}{5},

Increasing

: \frac{1}{5} < x < \infty

Plug

x = \frac{1}{5}

into

5 x - ln (x) : 1 + ln (5)

Minimum (\frac{1}{5}, 1 + ln (5))

Popular Examples

extreme f(x)=x^4-12x^3+16x^2+5 extreme points

f (x) = x^{4} - 12 x^{3} + 16 x^{2} + 5

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f (x) = 4 x^{3} - 2 y^{2} - 12 x + 8 y

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

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f (x) = - x^{3} + 3 x^{2} + 24 x - 4

extreme x^2+4x+4 extreme points

x^{2} + 4 x + 4

Frequently Asked Questions (FAQ)

What is the extreme f(x)=5x-ln(x) ?
The extreme f(x)=5x-ln(x) is Minimum(1/5 ,1+ln(5))