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Question
Differentiate the following function w.r.t.x. : `x/(x + 1)`
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Solution
Let y = `x/(x + 1)`
Differentiating w.r.t. x, we get
`dy/dx = d/dx(x/(x + 1))`
=`((x + 1)d/dx(x) - xd/dx(x + 1))/(x + 1)^2`
= `((x + 1)(1) - x(1 + 0))/(x + 1)^2`
= `(x + 1 - x)/(x + 1)^2`
= `1/(x + 1)^2`
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