State the formula for the second derivative of a curve given parametrically by where .

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

Problem

State the formula for the second derivative

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

of a curve given parametrically by

x=f(t),\;y=g(t)

where

f'(t)\neq 0