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Popular Functions >

extreme x^4-4x^3+3

Solution

extreme

Solution

Saddle (0, 3), Minimum (3, - 24)

Solution steps

f^{'} (x) = 4 x^{3} - 12 x^{2}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = 0

into

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

Saddle (0, 3)

Plug

x = 3

into

x^{4} - 4 x^{3} + 3 : - 24

Minimum (3, - 24)

Saddle (0, 3), Minimum (3, - 24)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme x^4-4x^3+3 ?
The extreme x^4-4x^3+3 is Saddle(0,3),Minimum(3,-24)