At a certain point on a parametric curve the second derivative has the value

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

-0.8

. Which statement best describes the curve at that point? (a) The curve is concave up because

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

is negative. (b) The curve is concave down because

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

is negative. (c) The curve has a point of inflection since

\dfrac{d^{2}y}{dx^{2}}\neq 0

. (d) The concavity cannot be determined without knowing

\dfrac{dy}{dx}

at the point.