Consider the parametrically defined curve and for real

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

Problem

Consider the parametrically defined curve

x=t^{3}-3t

and

y=t^{2}-4

for real

t

. Determine all values of

t

at which the tangent line to the curve is horizontal.