Differentiate AC = √(Q+1)/Q using quotient and product rule

[shanedog11]

Homework Statement

differentiate the following function using both the quotient and product rule with respect to their independent variable(s) and simplify your answer

Homework Equations

AC= (Q+1)^(0.5) / Q

The Attempt at a Solution

product rule:
dac/dQ = [(Q+1)^(0.5) x (-q^-2) ] + [ 0.5(Q+1)^(1/2) ]
dac/dQ = Q^(-1.5) + 1 + 0.5(Q+1)^(1/2)

 

[Dick]

I think you are just supposed to show that d/dQ of (Q+1)^(1/2)/Q taken with the quotient rule, and d/dQ of (Q+1)^(1/2)*Q^(-1) taken with the product rule are equal. But I'm really not sure how you are getting those expressions you show. Can you show us?