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Popular >

extreme y=x^2(x-3)

Solution

extreme points

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

Solution

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

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = 0

into

x^{2} (x - 3) : 0

Maximum (0, 0)

Plug

x = 2

into

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

Minimum (2, - 4)

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

Graph

Popular Examples

extreme f(x)=x(20-2x)(12-2x)extreme points

f (x) = x (20 - 2 x) (12 - 2 x)

extreme f(x)=5x^2-40ln(x)extreme points

f (x) = 5 x^{2} - 40 ln (x)

extreme y=x^3-6x^2+2 extreme points

y = x^{3} - 6 x^{2} + 2

extreme f(x)=x^3-3x+9 extreme points

f (x) = x^{3} - 3 x + 9

extreme (x^2)/(1+x)extreme points

\frac{x ^{2}}{1 + x}

Frequently Asked Questions (FAQ)

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