How do I simplify f'(x) into the form -((x+c)/(mx+n))^p?

[shiri]

Let f(x) = sqrt(49-x^2) + 7arccos(x/7).

Then f'(x) can be written in the simplified form -((x+c)/(mx+n))^p

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

So far what I got in simplified form is (-x-7)/sqrt(49-x^2)


How can I make my simplified form into that simplified form?

 

[tiny-tim]

Hi shiri!

(try using the X² tag just above the Reply box )

Hint: 49 - x² = (7 + x)(7 - x)