A student is given one compound among the following compounds that gives positive test with Tollen's reagent. The compound is: 
Observe the following reaction and same reaction is carried out with the following compound: 
X and Y can be differentiated by:
Find the Derivative \( \frac{dy}{dx} \)
Given:\[ y = \cos(x^2) + \cos(2x) + \cos^2(x^2) + \cos(x^x) \]