Posted by Jessica on Monday, March 5, 2012 at 8:34pm.
Determine the absolute extreme values of f(x)=4√x 2x on the interval [1,4]
I found the derivative of f(x)=4√x 2x
f'(x)=2/x^(1/2)  2

I have no idea what to do now.

Calculus  john, Friday, March 9, 2012 at 6:11pm
Since you have found your derivative you then need to move on and find its critical values(where the derivative equals zero). Then if those numbers are within the interval [1,4] you must also plug those into your orignal function. If they do not, then they should be disreguarded and thrown out
F(1)= 2/(1^(1/2)2=0 giving you the point (1,0) which is your max
F(4)= plug the 4 into your x value for your derivative and you should get 1
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