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

Answers

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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Answer #1| 06/02 2014 21:1396 %