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Popular >

extreme y=-x-ln|x|

Solution

extreme points

y = - x - ln ∣ x ∣

Solution

Minimum (- 1, 1)

Solution steps

Find the critical points:

x = - 1

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 0,

Decreasing

: 0 < x < \infty

Plug the extreme point

x = - 1

into

- x - ln ∣ x ∣ \Rightarrow y = 1

Minimum (- 1, 1)

Graph

Popular Examples

extreme f(x)=x^3-48x+9 extreme points

f (x) = x^{3} - 48 x + 9

extreme f(x,y)=x^2y^2+3xy+4x extreme points

f (x, y) = x^{2} y^{2} + 3 x y + 4 x

extreme f(x,y)= y/x-ln(x)+1/2 y^2 extreme points

f (x, y) = \frac{y}{x} - ln (x) + \frac{1}{2} y^{2}

extreme sqrt(x^2+2x+5)extreme points

x^{2} + 2 x + 5

extreme f(x)=420t-35t extreme points

f (x) = 420 t - 35 t

Frequently Asked Questions (FAQ)

What is the extreme y=-x-ln|x| ?
The extreme y=-x-ln|x| is Minimum(-1,1)