SOLUTION: What is the derivative of this function? y = sqrt of 1 + sqrt of x?

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Question 168884: What is the derivative of this function? y = sqrt of 1 + sqrt of x?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Find the derivative of the function:
y+=+sqrt%281%29%2Bsqrt%28x%29 Rewrite using exponents.
y+=+1%5E%281%2F2%29+%2B+x%5E%281%2F2%29 then...
dy%2Fdx+=+%281%2F2%29x%5E%28-1%2F2%29 or...
dy%2Fdx+=+1%2F%282%2Asqrt%28x%29%29