SOLUTION: Find the derivative: y=(1+(√x))/x

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Question 182411: Find the derivative:
y=(1+(√x))/x

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+%281%2Bsqrt%28x%29%29%2Fx
y+=+%281%2Bx%5E%281%2F2%29%29x%5E%28-1%29
y+=+x%5E%28-1%29%2Bx%5E%28-1%2F2%29%29
Now, you can take the derivative:
y+=+-x%5E%28-2%29-%281%2F2%29%28x%5E%28-3%2F2%29%29
y+=+-1%2Fx%5E2-+1%2F%282x%5E%283%2F2%29%29
or
y = -1/x^2- 1/(2x^(3/2)