differentiable 可导的，可微的a function whose graph is curve that is smooth and contains no discontinuities or cusps.

disk method 旋转体积圆盘法technique for finding the volume of a solid of revolution when integrating along the axis of revolution.

extreme value theorem 极值理论guarantees an absolute max and an absolute min

first derivative test 极值点、拐点的确定法determines whether an inflection point is a minimum, maximum, or neither.

higher order derivatives 高阶导数，高阶导函数any derivatives beyond the first derivative.

implicit differentiation 隐函数求导、微分method for finding the derivative of an implicitly defined function or relation using the chain rule.

indefinite integral 不定积分another way of saying antiderivative.

instantaneous rate of change 瞬时牵连变化率、相关变化率rate of change at a particular moment.

instantaneous velocity 瞬时速度rate at which an object is moving at a particular moment.