For the curve

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

Problem

For the curve

x=t^2-4t

y=t^3-3t

with

0\le t\le4

, (i) find the value(s) of

t

at which the tangent is vertical; (ii) write the coordinates of the corresponding point(s) on the curve.