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Popular >

extreme (x-1)^3

Solution

extreme points

(x - 1)^{3}

Solution

Saddle (1, 0)

Solution steps

f^{'} (x) = 3 (x - 1)^{2}

Find intervals:

Increasing

: - \infty < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

(x - 1)^{3} : 0

Saddle (1, 0)

Graph

Popular Examples

extreme f(x)=-x^2+12,-3<= x<= 4 extreme points

f (x) = - x^{2} + 12, - 3 \leq x \leq 4

extreme f(x,y)=2x^2+3xy+4y^2-2x+10y extreme points

f (x, y) = 2 x^{2} + 3 x y + 4 y^{2} - 2 x + 10 y

extreme 2x^3-24x+1 extreme points

2 x^{3} - 24 x + 1

extreme f(x)=x^7e^{2x}+2 extreme points

f (x) = x^{7} e^{2 x} + 2

extreme f(x)=x^3+12xy+y^4 extreme points

f (x) = x^{3} + 12 x y + y^{4}

Frequently Asked Questions (FAQ)

What is the extreme (x-1)^3 ?
The extreme (x-1)^3 is Saddle(1,0)