Posted by **jonh** on Thursday, March 7, 2013 at 12:37am.

f(x)=√(x)(x-4)

find the critical number

- Math -
**Steve**, Thursday, March 7, 2013 at 11:25am
Assuming you meant

f(x) = √((x)(x-4))

f'(x) = (x-2)/√((x)(x-4))

So, x=2 is the critical value

except that f(x) is not defined for 0<x<4

If you meant f(x) as written,

f'(x) = (3x-4)/(2√x)

and the critical value is x = 4/3

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