Second Derivatives and Beyond
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ConcavityThe concavity of a function describes whether the function is curving up, down or not curving at all.
Critical PointThe derivative of the function at the critical point is 0.
Inflection PointThe point (x-value) where the function changes concavity.
Implicit DifferentiationDifferentiation of an equation in which the dependent variable doesn't have a side of the equation all to itself.
Derivative Of A FunctionThe derivative of f (x) measures how f (x) changes at a point x.
MinimaThe largest value that a function takes within a given interval.
MaximaThe smallest value that a function takes within a given interval.
Local Extreme PointThe maximum and minimum points when the domain is restricted to a small neighborhood of x –values.
Global Extreme PointThe maximum and minimum points in the entire domain of the function.
Instantaneous Rate Of ChangeChange in the function f (x) at a point x.
Secant LineLine joining two points on the graph of a function.
Tangent LineA line that touches the graph of a function f (x) at a point.
DifferentiabilityIf the limit exists, the function f (x) is differentiable at x = a.