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

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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(48535) About Me  (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
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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)
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Cheers,
Stan H.