Explain, in one concise sentence, why for differentiable parametric functions and…

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Explain, in one concise sentence, why for differentiable parametric functions

x(t)

and

y(t)

with

\frac{dx}{dt}\neq0

, the derivative

\frac{dy}{dx}

at a given value of

t

equals

\dfrac{dy/dt}{dx/dt}