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Popular >

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

Solution

extreme points

f (x) = 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)

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critical log_{10}(x)critical points

lo g_{10} (x)

Frequently Asked Questions (FAQ)

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