Consider the parametric equations and

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Consider the parametric equations

x=t^{2}+t

and

y=t^{3}-3t

. (a) Find all values of

t

for which the curve passes through points where

x=0

. (b) For each value of

t

found in part (a), compute the corresponding slope

\dfrac{dy}{dx}