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Popular >

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

Solution

extreme points

\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

extreme f(x)=88-1/2 x-(3200)/x extreme points

f (x) = 88 - \frac{1}{2} x - \frac{3200}{x}

extreme f(x)=-2x^2-24x-71 extreme points

f (x) = - 2 x^{2} - 24 x - 71

extreme e^{-x^2}extreme points

e^{- x^{2}}

extreme f(x,y)= 1/(ln(4-x^2-y^2))extreme points

f (x, y) = \frac{1}{ln ( 4 - x ^{2} - y ^{2} )}

extreme f(x)=x^2+1/(x^2)extreme points

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

Frequently Asked Questions (FAQ)

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