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Problem 59 Hard Difficulty

Find the derivative of the function. Simplify where possible.
$ y = \arccos ( \frac {b + a \cos x}{a + b \cos x}), 0 \le x \le \pi, a > b > 0 $

Answer

$$\frac{\sqrt{a^{2}-b^{2}}}{|a+b \cos x|} \frac{\sin x}{|\sin x|}$$

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