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Popular >

extreme f(x)=[|x|]

Solution

extreme points

f (x) = [∣ x ∣]

Solution

Minimum (0, 0)

Solution steps

Find the critical points:

x = 0

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug the extreme point

x = 0

into

∣ x ∣ \Rightarrow y = 0

Minimum (0, 0)

Popular Examples

extreme x^3-12x-3 extreme points

x^{3} - 12 x - 3

extreme f(x)=e^xx+2,0<= x<= 6 extreme points

f (x) = e^{x} x + 2, 0 \leq x \leq 6

extreme y=(27x^2)/((2-x)^3)extreme points

y = \frac{27 x ^{2}}{( 2 - x ) ^{3}}

extreme f(x,y)=6x+6y+2xy-5x^2-2y^2 extreme points

f (x, y) = 6 x + 6 y + 2 x y - 5 x^{2} - 2 y^{2}

extreme f(x)2x^2-4x-1 extreme points

f (x) 2 x^{2} - 4 x - 1

Frequently Asked Questions (FAQ)

What is the extreme f(x)=[|x|] ?
The extreme f(x)=[|x|] is Minimum(0,0)