SOLUTION: Differentiate the function y = (x^2 + 4x +3)/ ( x^1/2)

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Question 350583: Differentiate the function
y = (x^2 + 4x +3)/ ( x^1/2)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the product rule,
d%28fg%29%2Fdx=f%2A%28dg%2Fdx%29%2Bg%2A%28df%2Fdx%29
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y+=+%28x%5E2+%2B+4x+%2B3%29%2F+%28+x%5E1%2F2%29
y=%28x%5E%281%2F2%29%29%28x%5E2+%2B+4x+%2B3%29
dy%2Fdx=x%5E%281%2F2%29%2A%282x%2B4%29%2B%28x%5E2%2B4x%2B3%29%2A%281%2F2%29x%5E%28-1%2F2%29
dy%2Fdx=%282x%282x%2B4%29%2Bx%5E2%2B4x%2B3%29%2F%282sqrt%28x%29%29
dy%2Fdx=%284x%5E2%2B8x%2Bx%5E2%2B4x%2B3%29%2F%282sqrt%28x%29%29
dy%2Fdx=%285x%5E2%2B12x%2B3%29%2F%282sqrt%28x%29%29