Calculate for the parametric curve defined by and at .

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Calculate

\displaystyle \frac{d^{2}y}{dx^{2}}

for the parametric curve defined by

x(t)=t^{2}+1

and

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

at

t=1

.

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