Given the parametric equations and

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

Problem

Given the parametric equations

x=e^{2t}

and

y=t\,e^{2t}

, eliminate the parameter

t

after differentiating and express

\dfrac{dy}{dx}

entirely in terms of

x

.

Related theory

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