Implicit Differentiation of a Quadratic Curve
Consider the curve defined by \(x^2 + xy + y^2 = 4\). (a) For SL students: Differentiate implicitly to find \(\frac{dy}{dx}\) in terms of \(x\) and \(y\). (b) For HL extension: Using your result from part (a), determine the slope of the tangent line at the point where \(x = 1\) and find the corresponding […]