If , then evaluate…

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

\int_{\pi/3}^{x} \sqrt{3 - \sin^2 t} dt + \int_{0}^{y} \cos t dt = 0

, then evaluate

\frac{dy}{dx}

Related theory

Accumulation Concepts
Advanced Differentiation
Differentiation Rules
Derivatives of standard functions via chain rule
Derivatives of composite functions
Continuity and Differentiability

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