Simplifying Derivatives: Solving for Constants in f'(x) = [(x+c)/(mx+n)]p

[Whiz]

Homework Statement

Let f(x) = sqrt(4-x²) + 2cos^-1(x/2)

Then f '(x) can be written in simplified form -[(x+c)/(mx+n)]^p
NOTE: I'm not sure if that negative is supposed to be there since my book is smudged.

What are the values of c, m, n, and p?

Homework Equations

Derivative of cos^-1(x) is -1/(sqrt(1-x²)

The Attempt at a Solution

I found the derivative to be -x/sqrt(4-x²) - 1/sqrt(1-(x/2)²)

My problem is that I have no idea how to simplify it into that form. Can anyone offer me some assistance on this question?

Thanks in advance!

 

[zcd]

Try multiplying $$-\frac{1}{\sqrt{1-(\frac{x}{2})^{2}}}\cdot\frac{2}{2}$$