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Popular >

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

Solution

extreme points

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

Solution

Maximum (- 3, \frac{1}{27})

Solution steps

f^{'} (x) = - \frac{2 ( x + 3 )}{x ^{4}}

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = - 3

into

\frac{x + 2}{x ^{3}} : \frac{1}{27}

Maximum (- 3, \frac{1}{27})

Popular Examples

extreme f(x)=-0.03x^2+300x-100000 extreme points

f (x) = - 0.03 x^{2} + 300 x - 100000

extreme f(x)=x^{1/3}(x-4),-125<= x<= 125 extreme points

f (x) = x^{\frac{1}{3}} (x - 4), - 125 \leq x \leq 125

extreme x(16-2x)extreme points

x (16 - 2 x)

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

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

extreme f(x)=(2x^2+8)/x extreme points

f (x) = \frac{2 x ^{2} + 8}{x}

Frequently Asked Questions (FAQ)

What is the extreme (x+2)/(x^3) ?
The extreme (x+2)/(x^3) is Maximum(-3, 1/27)