State the relation between and the derivatives with respect to a parameter when and…

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

State the relation between dydx\dfrac{dy}{dx} and the derivatives with respect to a parameter tt when x=ϕ(t)x=\phi(t) and y=ψ(t)y=\psi(t) are differentiable and dxdt≠0\dfrac{dx}{dt}\ne0.

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