For the curve

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

For the curve

x=t^{3}-3t,\; y=t^{2}

, determine the nature of the tangent at the point corresponding to

t=1

. (a) Horizontal tangent (slope

=0

) (b) Slope

=\dfrac{2}{3}

=-1