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Popular >

extreme (x^3-4)/(x^2)

Solution

extreme points

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

Solution

Maximum (- 2, - 3)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 2

into

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

Maximum (- 2, - 3)

Popular Examples

extreme f(x)=-x^3+12x extreme points

f (x) = - x^{3} + 12 x

extreme f(x)=5-7x^2 extreme points

f (x) = 5 - 7 x^{2}

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

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

extreme f(x)=sqrt(x^2+4)extreme points

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

extreme f(x)=-2x^3+33x^2-108x+1 extreme points

f (x) = - 2 x^{3} + 33 x^{2} - 108 x + 1

Frequently Asked Questions (FAQ)

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