How do we differentiate ?,

x/x+1

1 Answer
May 16, 2017

To differentiate 1/(x+1) use the quotient rule. To differentiate x/x+1 simplify first.

Explanation:

Derivative of a constant
d/dx(x/x+1) = d/dx(1+1) = d/dx(2) = 0 " " (for x != 0)

Quotient Rule

d/dx(u/v) = (u'v-uv')/v^2

So d/dx(x/(x+1)) = ((1)(x+1)-(x)(1))/(x+1)^2 = 1/(x+1)^2