`Ifint_(pi/3)^xsqrt((3-sin^2t))dt+int_0^ycostdt=0,then evaluate (dy)/(dx)`

Explanation

To solve the given problem, we need to evaluate the expression:

\[ \int_{\frac{\pi}{3}}^{x} \sqrt{3 - \sin^2 t} \, dt + \int_{0}^{y} \cos t \, dt = 0 \]

We will differentiate both sides with respect to \(x\) to find \(\frac{dy}{dx}\).

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