How to Correctly Apply the Quotient Rule in Differentiation?

[DollarBill]

Homework Statement

X / 1+sinX

The Attempt at a Solution

Quotient rule

(1+sinX)(1)-X(1+cosX) / (1+sinX)²

To:

1+sinX-X-XcosX / (1+sinX)²

But when I look at the answer in the back of the book, it's wrong.

 

[gabbagabbahey]

Is the derivative of 1+sinX really 1+CosX? I thought the derivative of 1 was zero. ;0)

 

[DollarBill]

I always make these stupid mistakes

Thanks