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Popular Functions >

extreme x^3-27x+50

Solution

extreme points

x^{3} - 27 x + 50

Solution

Maximum (- 3, 104), Minimum (3, - 4)

Solution steps

f^{'} (x) = 3 x^{2} - 27

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 3

into

x^{3} - 27 x + 50 : 104

Maximum (- 3, 104)

Plug

x = 3

into

x^{3} - 27 x + 50 : - 4

Minimum (3, - 4)

Maximum (- 3, 104), Minimum (3, - 4)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme x^3-27x+50 ?
The extreme x^3-27x+50 is Maximum(-3,104),Minimum(3,-4)