The parametric equations and are valid for

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

Problem

The parametric equations

x(t)=\ln t

and

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

are valid for

t>0

. Find an explicit formula for

\dfrac{d^{2}y}{dx^{2}}

in terms of

x

(eliminate

t

from your final answer).