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Popular >

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

Solution

extreme points

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

Solution

Minimum (0, 0)

Solution steps

f^{'} (x) = \frac{18 x}{( x ^{2} + 3 ) ^{2}}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

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

Minimum (0, 0)

Graph

Popular Examples

extreme (x^3)/3-(3x^2)/2-4x+8 extreme points

\frac{x ^{3}}{3} - \frac{3 x ^{2}}{2} - 4 x + 8

extreme f(x,y)=x^3+9y^4-20x^2y+2 extreme points

f (x, y) = x^{3} + 9 y^{4} - 20 x^{2} y + 2

extreme 2x^3+3x^2+4 extreme points

2 x^{3} + 3 x^{2} + 4

extreme f(x)=x^2+2y^2-4x+8y extreme points

f (x) = x^{2} + 2 y^{2} - 4 x + 8 y

extreme f(x)=(2-x)/(5+x)extreme points

f (x) = \frac{2 - x}{5 + x}

Frequently Asked Questions (FAQ)

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