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Popular >

extreme f(x)=(x^2)/(x^2+3)

Solution

extreme points

f (x) = \frac{x ^{2}}{x ^{2} + 3}

Solution

Minimum (0, 0)

Solution steps

f^{'} (x) = \frac{6 x}{( x ^{2} + 3 ) ^{2}}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

\frac{x ^{2}}{x ^{2} + 3} : 0

Minimum (0, 0)

Popular Examples

inverse of f(x)=sqrt(x-1)+2y=2 inverse

f (x) = x - 1 + 2 y = 2

asymptotes of f(x)=(5x^3-8)/(4x^2+5x)asymptotes

f (x) = \frac{5 x ^{3} - 8}{4 x ^{2} + 5 x}

asymptotes of f(x)= 1/3 e^{2x}-1 asymptotes

f (x) = \frac{1}{3} e^{2 x} - 1

inverse of f(x)=7+(4+x)^{1/2}inverse

f (x) = 7 + (4 + x)^{\frac{1}{2}}

domain of f(x)=sqrt(-x+9)-6 domain

f (x) = - x + 9 - 6

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x^2)/(x^2+3) ?
The extreme f(x)=(x^2)/(x^2+3) is Minimum(0,0)