Concavity
The concavity of a function describes whether the function is curving up, down or not curving at all.
Critical Point
The derivative of the function at the critical point is 0.
Inflection Point
The point (
x-value) where the function changes concavity.
Implicit Differentiation
Differentiation of an equation in which the dependent variable doesn't have a side of the equation all to itself.
Derivative Of A Function
The derivative of
f (
x) measures how
f (
x) changes at a point
x.
Minima
The largest value that a function takes within a given interval.
Maxima
The smallest value that a function takes within a given interval.
Local Extreme Point
The maximum and minimum points when the domain is restricted to a small neighborhood of
x –values.
Global Extreme Point
The maximum and minimum points in the entire domain of the function.
Instantaneous Rate Of Change
Change in the function
f (
x) at a point
x.
Secant Line
Line joining two points on the graph of a function.
Tangent Line
A line that touches the graph of a function
f (
x) at a point.
Differentiability
If the limit
exists, the function
f (
x) is differentiable at
x =
a.