Explain why differentiating the equation with respect to yields the term (and not…

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Explain why differentiating the equation x2+y2=1x^{2}+y^{2}=1 with respect to xx yields the term 2y dydx2y\,\dfrac{dy}{dx} (and not merely 2y2y) when differentiating y2y^{2}.

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