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Question
Find `dy/dx if y=(1+x)/(2+x)`
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Solution
`y=(1+x)/(2+x)`
Differentiating w.r.t. x, we get
`dy/dx = d/dx ((1+x)/(2+x))`
=`((2 + x)d/dx(1 + x) - (1 + x)d/dx(2 + x))/(2 + x)^2`
=`((2 + x)(0 + 1) - (1 + x)(0 + 1))/(2 + x)^2`
`dy/dx = ((2 + x) - (1 + x))/(2 + x)^2`
=`(2 + x - 1 - x)/(2 + x)^2`
=`1/(2 + x)^2`
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