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Popular >

extreme y=x^3-3x^2

Solution

extreme points

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

Solution

Maximum (0, 0), Minimum (2, - 4)

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} : 0

Maximum (0, 0)

Plug

x = 2

into

x^{3} - 3 x^{2} : - 4

Minimum (2, - 4)

Maximum (0, 0), Minimum (2, - 4)

Graph

Popular Examples

extreme f(x)= 2/5 x^5+5x^4+16x^3-15 extreme points

f (x) = \frac{2}{5} x^{5} + 5 x^{4} + 16 x^{3} - 15

extreme f(x)=x^3-3x^2+6 extreme points

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

extreme f(x,y)=x^2+y^2-2x-6y+14 extreme points

f (x, y) = x^{2} + y^{2} - 2 x - 6 y + 14

extreme f(x,y)=x^3-y^3-2xy+6 extreme points

f (x, y) = x^{3} - y^{3} - 2 x y + 6

extreme f(x)=6x^2-3x^3 extreme points

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

Frequently Asked Questions (FAQ)

What is the extreme y=x^3-3x^2 ?
The extreme y=x^3-3x^2 is Maximum(0,0),Minimum(2,-4)