Second Derivatives of Parametric Equations · AP Calculus BC · Varsity Tutors

AP Calculus BC Quiz

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PARAMETRIC, POLAR, AND VECTOR FUNCTIONS

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Let C be a curve defined by parametric equations

x(t)

and

y(t)

. At a certain time

t_0

, it is known that

\frac{dx}{dt} = -2

,

\frac{dy}{dt} = 4

, and

\frac{d}{dt}\left(\frac{dy}{dx}\right) = 3

. What is the value of

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

at

t=t_0

?

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