being in immediate connection or spatial relationship.
point on the graph where the derivative is either 0 or undefined.
technique for finding the volume of a solid of revolution.
the representation of the difference in values of a primitive of a given function evaluated at two designated points.
the change of a function with respect to an infinitesimally small change in the independent variable, or the slope of the point's tangent line.
a function whose graph is curve that is smooth and contains no discontinuities or cusps.
technique for finding the volume of a solid of revolution when integrating along the axis of revolution.
extreme value theorem
noun
guarantees an absolute max and an absolute min
determines whether an inflection point is a minimum, maximum, or neither.
any derivatives beyond the first derivative.
method for finding the derivative of an implicitly defined function or relation using the chain rule.
another way of saying antiderivative.
instantaneous rate of change
rate of change at a particular moment.
rate at which an object is moving at a particular moment.
a method of evaluating an integral by use of the formula, ∫udv = uv − ∫vdu.
value that a function approaches as the domain variable approach a specific value.
the theorem that there is a point in a continuous curve where the derivative is equal to the average derivative of the entire arc.
line that is at a 90 degree angle, perpendicular to a surface.
form used the most when finding the equation of a line.
method for approximating the definite integral.
determines whether a critical point is a relative minimum or maximum using the value of the second derivative at the point.
integration method that involves using the chain rule in reverse.
trigonometric substitution
substitution of trigonometric functions for other expressions to eliminate radicals in integrals.
similar to the disk method but using washers instead of disks.
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