When the curve defined by is differentiated implicitly

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

When the curve defined by xy=4xy = 4 is differentiated implicitly, which of the following gives dydx\dfrac{dy}{dx} as a function of xx? (a) −4x-\dfrac{4}{x} (b) 4x2\dfrac{4}{x^{2}} (c) −4x2-\dfrac{4}{x^{2}} (d) −yx-\dfrac{y}{x}

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