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Popular >

extreme (3x^2)/(x^2-25)

Solution

extreme points

\frac{3 x ^{2}}{x ^{2} - 25}

Solution

Maximum (0, 0)

Solution steps

f^{'} (x) = - \frac{150 x}{( x ^{2} - 25 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < - 5,

Increasing

: - 5 < x < 0,

Decreasing

: 0 < x < 5,

Decreasing

: 5 < x < \infty

Plug

x = 0

into

\frac{3 x ^{2}}{x ^{2} - 25} : 0

Maximum (0, 0)

Popular Examples

extreme f(x)=-x^3-x^2+5x,-2<= x<= 2 extreme points

f (x) = - x^{3} - x^{2} + 5 x, - 2 \leq x \leq 2

extreme f(x)=-x^2+12x-32 extreme points

f (x) = - x^{2} + 12 x - 32

extreme f(x)=3x^2-12x+5,0<= x<= 3 extreme points

f (x) = 3 x^{2} - 12 x + 5, 0 \leq x \leq 3

extreme f(x)=x-sin(x),0<= x<= 2pi extreme points

f (x) = x - sin (x), 0 \leq x \leq 2 π

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

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

Frequently Asked Questions (FAQ)

What is the extreme (3x^2)/(x^2-25) ?
The extreme (3x^2)/(x^2-25) is Maximum(0,0)