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Popular >

extreme x^4-8x^3+6

Solution

extreme points

x^{4} - 8 x^{3} + 6

Solution

Saddle (0, 6), Minimum (6, - 426)

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} + 6 : 6

Saddle (0, 6)

Plug

x = 6

into

x^{4} - 8 x^{3} + 6 : - 426

Minimum (6, - 426)

Saddle (0, 6), Minimum (6, - 426)

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Frequently Asked Questions (FAQ)

What is the extreme x^4-8x^3+6 ?
The extreme x^4-8x^3+6 is Saddle(0,6),Minimum(6,-426)