SOLUTION: Determine the derivative of : y = (2x + 3) / (3x + 4) Thank you

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Question 555646: Determine the derivative of :
y = (2x + 3) / (3x + 4)
Thank you
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Determine the derivative of :
y = (2x + 3) / (3x + 4)
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y = %282x+%2B+3%29%2A%283x+%2B+4%29%5E-1
y' = 2%283x%2B4%29%5E-1+%2B+%282x%2B3%29%2A%28-1%29%2A%283x%2B4%29%5E%28-2%29%2A3
y' = 2%283x%2B4%29%5E-1+-+3%282x%2B3%29%2A%283x%2B4%29%5E%28-2%29
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It can be rearranged in several forms.
y' = %282%283x%2B4%29+-+3%282x%2B3%29%29%2F%283x%2B4%29%5E2
y' = -1%2F%283x%2B4%29%5E2