SOLUTION: Find the differential of each function. y = (2-v^2)/(2 + v^2)

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Question 995798: Find the differential of each function. y = (2-v^2)/(2 + v^2)
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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y = p%2Fq,

where  p  and  q  are functions of  x.

The formula for the differential of a quotient is

dy = %28dp%2Aq+-+p%2Adq%29%2Fq%5E2.               (1)

You should know this formula.  In our case

p = 2-v%5E2, q = 2%2Bv%5E2.         (2)

So,  express now  dp  and  dq  based on formulas  (2)  and then substitute it into  (1).