The total number of compounds from below when treated with hot KMnO4 giving benzoic acid is:
Identify product [A], [B], and [C] in the following reaction sequence.
The major product of the following reaction is: 
For the curve \( \sqrt{x} + \sqrt{y} = 1 \), find the value of \( \frac{dy}{dx} \) at the point \( \left(\frac{1}{9}, \frac{1}{9}\right) \).
Find the Derivative \( \frac{dy}{dx} \)
Given:\[ y = \cos(x^2) + \cos(2x) + \cos^2(x^2) + \cos(x^x) \]