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Popular >

extreme 1/(|x|+1)

Solution

extreme points

\frac{1}{∣ x ∣ + 1}

Solution

Maximum (0, 1)

Solution steps

Find the critical points:

x = 0

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \infty

Plug the extreme point

x = 0

into

\frac{1}{∣ x ∣ + 1} \Rightarrow y = 1

Maximum (0, 1)

Popular Examples

extreme f(x,y)=e^{2x}(x+y^2+2y)+10 extreme points

f (x, y) = e^{2 x} (x + y^{2} + 2 y) + 10

extreme P(x,y)=x^2-y^2 extreme points

P (x, y) = x^{2} - y^{2}

extreme f(x)=x*ln^2(x)extreme points

f (x) = x \cdot ln^{2} (x)

extreme f(x)=f(x,y)=x^3+y^3-3x^2-9y^2-9x extreme points

f (x) = f (x, y) = x^{3} + y^{3} - 3 x^{2} - 9 y^{2} - 9 x

extreme 1/(x^3)extreme points

\frac{1}{x ^{3}}

Frequently Asked Questions (FAQ)

What is the extreme 1/(|x|+1) ?
The extreme 1/(|x|+1) is Maximum(0,1)