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Popular >

extreme 1/x+ln(x)

Solution

extreme points

\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)=x^3-3xy+y^3 extreme points

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

extreme f(x,y)=y^2e^{-x+ln(y)}extreme points

f (x, y) = y^{2} e^{- x + l n (y)}

extreme f(x,y)=x^3+y^3-15xy extreme points

f (x, y) = x^{3} + y^{3} - 15 x y

extreme f(x,y)=sqrt(49-x^2-y^2)extreme points

f (x, y) = 49 - x^{2} - y^{2}

extreme f(x)= 1/2 x^4-3xy+3y^4 extreme points

f (x) = \frac{1}{2} x^{4} - 3 x y + 3 y^{4}

Frequently Asked Questions (FAQ)

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