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Popular >

extreme x^4-4x^3

Solution

extreme points

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)

Popular Examples

y = x

inverse of f(x)=4-ln(x+2)inverse

f (x) = 4 - ln (x + 2)

extreme f(x)=x^4e^x-2 extreme points

f (x) = x^{4} e^{x} - 2

asymptotes of f(x)=x^4-8x^3 asymptotes

f (x) = x^{4} - 8 x^{3}

domain of f(x)=(2x)/(sqrt(x-3))domain

f (x) = \frac{2 x}{x - 3}

Frequently Asked Questions (FAQ)

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