Calculus: For what number does the principal fourth root exceed twice the number by the largest amount?

Question

anonymous · Answer

Translated in English, what is the maximum value of x when$$\sqrt[4]{x}=2x$$

anonymous · Answer

Oh okay. So now I can just take the derivative of it?

anonymous · Answer

I was just working it as an algebra word problem, didn't notice 'Calculus'. I'll have to look up Calculus method.

anonymous · Answer

Define variables for what is optimized and other values, write an equation, and take the derivative to find critical points and answer the question is what I found in my book

anonymous · Answer

and answer is 1/16

anonymous · Answer

Good luck. I'm not sure, even though there is a 1/16 in my algebra work.

anonymous · Answer

Okay thanks anyway :) the equation should help a bunch