Question

differentiate: x/(1+x)

Answer 1

$\bold{Answer :}$

Now,

d/dx {x/(1 + x)}

= [ {(1 + x) d/dx (x)} - {x d/dx (1 + x)} ]/(1 + x)²

= { (1 + x) (1) - x (1) }/(1 + x)²

= (1 + x - x)/(1 + x)²

= 1/(1 + x)²

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