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Popular >

extreme x^4-8x^3+2

Solution

extreme points

x^{4} - 8 x^{3} + 2

Solution

Saddle (0, 2), Minimum (6, - 430)

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} + 2 : 2

Saddle (0, 2)

Plug

x = 6

into

x^{4} - 8 x^{3} + 2 : - 430

Minimum (6, - 430)

Saddle (0, 2), Minimum (6, - 430)

Popular Examples

monotone (x-5)/(x^2-9)monotone intervals

\frac{x - 5}{x ^{2} - 9}

amplitude of 4sin(x)amplitude

4 sin (x)

domain of f(x)=-(x-3)^2+5 domain

f (x) = - (x - 3)^{2} + 5

slope ofintercept x+5y=10 slope intercept

x + 5 y = 10

inverse of f(x)= 1/(3x)-3 inverse

f (x) = \frac{1}{3 x} - 3

Frequently Asked Questions (FAQ)

What is the extreme x^4-8x^3+2 ?
The extreme x^4-8x^3+2 is Saddle(0,2),Minimum(6,-430)