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Popular Functions >

extreme (x-1)^3-3x

Solution

extreme

Solution

Maximum (0, - 1), Minimum (2, - 5)

Solution steps

f^{'} (x) = 3 x^{2} - 6 x

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = 0

into

(x - 1)^{3} - 3 x : - 1

Maximum (0, - 1)

Plug

x = 2

into

(x - 1)^{3} - 3 x : - 5

Minimum (2, - 5)

Maximum (0, - 1), Minimum (2, - 5)

Graph

Popular Examples

extreme f(x,y)=x^2+xy+y^2-6x

extreme (y^2-x^2)(y-2)

extreme f(x)=(x^5)/5-(4x^4)/4+2

extreme f(x)=(x^5)/5-(4x^4)/4+6

extreme 3-sqrt(x)

Frequently Asked Questions (FAQ)

What is the extreme (x-1)^3-3x ?
The extreme (x-1)^3-3x is Maximum(0,-1),Minimum(2,-5)