If , then is equal…

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

Problem

If sin⁡−1(x2−y2x2+y2)=log⁡a\sin^{-1}\left(\frac{x^2 - y^2}{x^2 + y^2}\right) = \log a, then dydx\frac{dy}{dx} is equal to (a) xy\frac{x}{y} (b) yx2\frac{y}{x^2} (c) x2−y2x2+y2\frac{x^2 - y^2}{x^2 + y^2} (d) yx\frac{y}{x}

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