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Popular >

extreme f(x)=x^4-4x^3

Solution

extreme points

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

Solution

Saddle (0, 0), Minimum (3, - 27)

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} : 0

Saddle (0, 0)

Plug

x = 3

into

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

Minimum (3, - 27)

Saddle (0, 0), Minimum (3, - 27)

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f (x) = 9 x

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asymptotes of-2(x+2)^2 asymptotes

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f (x) = x + 19 - 2

Frequently Asked Questions (FAQ)

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