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Popular >

extreme f(x)= 1/x+ln(x)

Solution

extreme points

f (x) = \frac{1}{x} + ln (x)

Solution

Minimum (1, 1)

Solution steps

f^{'} (x) = - \frac{1}{x ^{2}} + \frac{1}{x}

Find intervals:

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

\frac{1}{x} + ln (x) : 1

Minimum (1, 1)

Popular Examples

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

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

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

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

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

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extreme f(x)=sqrt(16-4x^2-y^2)extreme points

f (x) = 16 - 4 x^{2} - y^{2}

Frequently Asked Questions (FAQ)

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