AP

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

Problem

If sin⁡(xy)+xy=x2−y\sin(xy) + \frac{x}{y} = x^2 - y , then dydx=\frac{dy}{dx} = (a) y[2xy−y2cos⁡(xy)−1]xy2cos⁡(xy)+y2−x\frac{y[2xy - y^2 \cos(xy) - 1]}{xy^2 \cos(xy) + y^2 - x} (b) [2xy−y2cos⁡(xy)−1]xy2cos⁡(xy)+y2−x\frac{[2xy - y^2 \cos(xy) - 1]}{xy^2 \cos(xy) + y^2 - x} (c) −y[2xy−y2cos⁡(xy)−1]xy2cos⁡(xy)+y2−x-\frac{y[2xy - y^2 \cos(xy) - 1]}{xy^2 \cos(xy) + y^2 - x} (d) None of these

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