How do we differentiate ?,

Question

$x$ $/$ $x$ $+$ $1$

1561 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-05-16T15:18:44

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

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