The curve is given parametrically by and for

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

The curve is given parametrically by

x(t)=t^{2}-4t

and

y(t)=t^{3}-3t

for

-\infty<t<\infty

. Determine all real values of

t

at which

y

attains a relative minimum, and state whether

y

has any relative maximum.