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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

Maximum (0, 0)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 3,

Increasing

: - 3 < x < 0,

Decreasing

: 0 < x < 3,

Decreasing

: 3 < x < \infty

Plug

x = 0

into

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

Maximum (0, 0)

Popular Examples

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

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

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

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

extreme f(x,y)=x^3+y^3-3x^2-6y^2-9x extreme points

f (x, y) = x^{3} + y^{3} - 3 x^{2} - 6 y^{2} - 9 x

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

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

extreme f(x)=x^4-2x^2+3,-2<= x<= 3 extreme points

f (x) = x^{4} - 2 x^{2} + 3, - 2 \leq x \leq 3

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 Maximum(0,0)