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Popular Functions >

extreme y=x(x-4)^3

Solution

extreme points

y = x (x - 4)^{3}

Solution

Minimum (1, - 27), Saddle (4, 0)

Solution steps

f^{'} (x) = 4 (x - 4)^{2} (x - 1)

Find intervals:

Decreasing

: - \infty < x < 1,

Increasing

: 1 < x < 4,

Increasing

: 4 < x < \infty

Plug

x = 1

into

x (x - 4)^{3} : - 27

Minimum (1, - 27)

Plug

x = 4

into

x (x - 4)^{3} : 0

Saddle (4, 0)

Minimum (1, - 27), Saddle (4, 0)

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the extreme y=x(x-4)^3 ?
The extreme y=x(x-4)^3 is Minimum(1,-27),Saddle(4,0)