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Popular >

extreme f(x)=|x-1|

Solution

extreme points

f (x) = ∣ x - 1 ∣

Solution

Minimum (1, 0)

Solution steps

Find the critical points:

x = 1

Find intervals:

Decreasing

: - \infty < x < 1,

Increasing

: 1 < x < \infty

Plug the extreme point

x = 1

into

∣ x - 1 ∣ \Rightarrow y = 0

Minimum (1, 0)

Graph

Popular Examples

extreme f(x)=x^2(180-2x)extreme points

f (x) = x^{2} (180 - 2 x)

extreme f(x)=6xln(x)extreme points

f (x) = 6 x ln (x)

extreme f(x)=10x-9 extreme points

f (x) = 10 x - 9

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

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

extreme (9x)/(x^2+36)extreme points

\frac{9 x}{x ^{2} + 36}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=|x-1| ?
The extreme f(x)=|x-1| is Minimum(1,0)