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Popular Functions >

extreme y=x+9/x-4

Solution

extreme points

y = x + \frac{9}{x} - 4

Solution

Maximum (- 3, - 10), Minimum (3, 2)

Solution steps

f^{'} (x) = - \frac{9}{x ^{2}} + 1

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 0,

Decreasing

: 0 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 3

into

x + \frac{9}{x} - 4 : - 10

Maximum (- 3, - 10)

Plug

x = 3

into

x + \frac{9}{x} - 4 : 2

Minimum (3, 2)

Maximum (- 3, - 10), Minimum (3, 2)

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the extreme y=x+9/x-4 ?
The extreme y=x+9/x-4 is Maximum(-3,-10),Minimum(3,2)