Discussion
A point of inflexion on a twice-differentiable curve is one where
Answer: D
An inflexion is a change of the sense of bending, so the second derivative must actually change sign, not merely vanish. For \( y = x^{4} \) the second derivative is zero at the origin but stays positive on both sides, and the point is a minimum. A change of sign of the first derivative marks an extremum instead
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