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Popular Functions >

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

Solution

extreme

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)

Graph

Popular Examples

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

extreme f(x)=5x^2sqrt(x+1)

extreme f(x)=3cos^2(x),0<= x<= pi

Frequently Asked Questions (FAQ)

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