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Popular Functions >

extreme (x-3)sqrt(x)

Solution

extreme points

(x - 3) x

Solution

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

Solution steps

f^{'} (x) = \frac{3 ( x - 1 )}{2 x}

Find intervals:

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 0

into

(x - 3) x : 0

Maximum (0, 0)

Plug

x = 1

into

(x - 3) x : - 2

Minimum (1, - 2)

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

Graph

Popular Examples

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extreme f(x)=2x^3-9x^2-24x

Frequently Asked Questions (FAQ)

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