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Popular >

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)

Popular Examples

domain of g(x)=x^2-6 domain

g (x) = x^{2} - 6

perpendicular y= 3/5 x-1/5 ,(-3,11)perpendicular

y = \frac{3}{5} x - \frac{1}{5}, (- 3, 11)

inverse of 4/(3+x^2)inverse

\frac{4}{3 + x ^{2}}

domain of f(x)=sqrt(4x-42)domain

f (x) = 4 x - 42

intercepts of y=-1/2 x+3 intercepts

y = - \frac{1}{2} x + 3

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)