Let and for real

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Let

x=t^{3}-6t

and

y=t^{2}-4

for real

t

. For which value(s) of

t

does

y

achieve a relative maximum with respect to

x

? (a)

t=\pm\sqrt{2}

only (b)

t=0

only (c) No value of

t

yields a relative maximum (d)

t=0

and

t=\pm\sqrt{2}

Related theory

Curve Analysis
Parametric Functions

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