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Popular Functions >

extreme x-4/(x^2)

Solution

extreme points

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

Solution

Maximum (- 2, - 3)

Solution steps

f^{'} (x) = 1 + \frac{8}{x ^{3}}

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 2

into

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

Maximum (- 2, - 3)

Graph

Popular Examples

domain of (x+4)^2-6

d o main (x + 4)^{2} - 6

extreme f(x)=3x^{2/3}-x

e x t re m e f (x) = 3 x^{\frac{2}{3}} - x

inverse of y=5x-4

in v erse y = 5 x - 4

midpoint (-1,5),(-6,-2)

mi d p o in t (- 1, 5), (- 6, - 2)

domain of f(x)=ln(x)+2

d o main f (x) = ln (x) + 2

Frequently Asked Questions (FAQ)

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