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Popular >

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

Solution

extreme points

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

Solution

Maximum (- 3, \frac{4}{3})

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 3

into

\frac{x ^{2} - 2 x - 3}{x ^{2}} : \frac{4}{3}

Maximum (- 3, \frac{4}{3})

Popular Examples

extreme f(x)=(-4t^2+50t+16)/((t^2+4)^2)extreme points

f (x) = \frac{- 4 t ^{2} + 50 t + 16}{( t ^{2} + 4 ) ^{2}}

extreme f(x)=2x(x-1)^2 extreme points

f (x) = 2 x (x - 1)^{2}

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

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

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

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

extreme 6x^5-10x^3 extreme points

6 x^{5} - 10 x^{3}

Frequently Asked Questions (FAQ)

What is the extreme (x^2-2x-3)/(x^2) ?
The extreme (x^2-2x-3)/(x^2) is Maximum(-3, 4/3)