Mathematics

Problem

For the curve

x = t^{2}-4t

y = t^{3}-6t

, it is observed that

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

is positive for

t<2

, negative for

t>2

, and zero at

t=2

. Which one of the following statements about the point corresponding to

t=2

is correct? a) The curve attains a local maximum ordinate

y

at this point. b) The tangent at this point is horizontal. c) The point is an inflection point of the curve. d) The curve is concave upward at this point only.

Browse the problem library