Question

How do you differentiate (x+1)/x?

Answer 1

\[\frac{ x+1 }{ x }\]

Answer 2

2 ways you can do this:

1) Use the quotient rule

2) Even easier is realizing:

(x + 1)/x = 1 + 1/x

You can take the derivative of 1, which is 0 and add that 0 (or disregard it)
to the derivative of 1/x

Answer 3

1/x = x^(-1)

derivative of x^a = ax^(a-1)

Answer 4

So, your "a" is -1, so now just substitute.

Answer 5

Is this making sense to you?