AP

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

Problem

x^2 + y^2 = t - \frac{1}{t}, x^4 + y^4 = t^2 + \frac{1}{t^2}

, then

x^3 y \frac{dy}{dx} =

(a) 1 (b) 2 (c) 3 (d) 4

Related theory

Dot Product
Vectors
Advanced Differentiation
Implicit and parametric differentiation
Derivatives of implicit functions
Continuity and Differentiability

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