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Popular Functions >

extreme y=5x+(180)/x

Solution

extreme

Solution

Maximum (- 6, - 60), Minimum (6, 60)

Solution steps

f^{'} (x) = 5 - \frac{180}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - 6,

Decreasing

: - 6 < x < 0,

Decreasing

: 0 < x < 6,

Increasing

: 6 < x < \infty

Plug

x = - 6

into

5 x + \frac{180}{x} : - 60

Maximum (- 6, - 60)

Plug

x = 6

into

5 x + \frac{180}{x} : 60

Minimum (6, 60)

Maximum (- 6, - 60), Minimum (6, 60)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme y=5x+(180)/x ?
The extreme y=5x+(180)/x is Maximum(-6,-60),Minimum(6,60)