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What is the derivative of (1-y)/((1+y)^3)? Can you go through step by step?

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  • What is the derivative of (1-y)/((1+y)^3)? Can you go through step by step?


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Answer #1 | 06/02 2014 21:13
Use the quotient rule: ..........f(x)........g'(x)f(x) - f '(x)g(x) .......[ -------] ' = --------------------- ..........g(x)................g(x)² ...........1-y f = ----------------- .........(1+y)³ .......(1+y)³ (-1) - [(1-y) 3 (1+y)² (1)] f ' = -------------------------------------------- ..............[ (1+y)³]² ........(-1)(1+y)³ - 3(1-y)(1+y)² f ' = --------------------------------- ..............(1+y)⁶ .. .....(1+y)² [ (-1)(1+y) - 3(1-y) ] f ' = ------------------------------------- ..............(1+y)⁶ .........-1 - y - 3 + 3y f ' = --------------------- ..............(1+y)⁴ .........2y - 4 f ' = ------------...........ANS .........(1+y)⁴
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