Consider the parametric equations and for all real

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

Problem

Consider the parametric equations

x=t^{2}-2t

and

y=t^{3}-3t^{2}

for all real

t

. Determine the parameter values at which the curve changes concavity and state the corresponding coordinates of the inflection points.