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Popular Functions >

extreme y=x^3-3x^2+1

Solution

extreme points

y = x^{3} - 3 x^{2} + 1

Solution

Maximum (0, 1), Minimum (2, - 3)

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^{3} - 3 x^{2} + 1 : 1

Maximum (0, 1)

Plug

x = 2

into

x^{3} - 3 x^{2} + 1 : - 3

Minimum (2, - 3)

Maximum (0, 1), Minimum (2, - 3)

Graph

Popular Examples

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extreme f(x)=-2x^2-16x-39

extreme f(x)=((ln(x))^2)/x

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

extreme f(x,y)=x^2-y^2-x-y

Frequently Asked Questions (FAQ)

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