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Popular Functions >

extreme x^4-8x^3

Solution

extreme

Solution

Saddle (0, 0), Minimum (6, - 432)

Solution steps

f^{'} (x) = 4 x^{3} - 24 x^{2}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < 6,

Increasing

: 6 < x < \infty

Plug

x = 0

into

x^{4} - 8 x^{3} : 0

Saddle (0, 0)

Plug

x = 6

into

x^{4} - 8 x^{3} : - 432

Minimum (6, - 432)

Saddle (0, 0), Minimum (6, - 432)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme x^4-8x^3 ?
The extreme x^4-8x^3 is Saddle(0,0),Minimum(6,-432)