SOLUTION: This is actually from my calculus class. I'm trying to work out the answer for a derivative using the "chain rule". The question is what is the derivative of the square root of x

Question 129110: This is actually from my calculus class. I'm trying to work out the answer for a derivative using the "chain rule". The question is what is the derivative of the square root of x under the square root of x, all under a third square root of x.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
what is the derivative of the square root of x under the square root of x, all under a third square root
-----------------------
If I read you correctly you have
f(x) = sqrt[sqrt[(x)sqrt(x)]]
f(x) = sqrt[sqrt[x^(3/2)]]
f(x) = sqrt[x^(3/4)]
f(x) = x^(3/8)
f'(x) = (3/8)x^(-5/8)
==========================
Cheers,
Stan H.
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