- #1

Joe_K

- 33

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## Homework Statement

Find dy/dx for the following function:

y = (11-cos(x))/(2+cos(x))

## Homework Equations

Quotient Rule:

y'= ((g(x))(f'(x)) - (f(x))(g'(x)))/ (g(x)^2)

## The Attempt at a Solution

I used the quotient rule to come up with this:

y'= ((2+cos(x))(sin(x)) - (11-cos(x))(-sin(x))) / ((2+cos(x))^2)

Now, the trouble that I am having is simplifying this.

The final answer should turn out to be :

(13sin(x))/(cos(x)+2)^2

I am overlooking some basic arithmetic here, but I can't seem to find out what I am missing. Am I supposed to multiply out the expressions first and then combine like terms? Basically, how do I go from the expanded version to the simplified version? Thank you