Consider the parametric equations and for all real

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Consider the parametric equations

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

and

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

for all real

t

. Determine the value(s) of

t

at which

y

changes from increasing to decreasing with respect to

x

.

Related theory

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