The concavity of a function describes whether the function is curving up, down or not curving at all.
The derivative of the function at the critical point is 0.
The point (x
-value) where the function changes concavity.
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
) measures how f
) changes at a point x
The largest value that a function takes within a given interval.
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
Global Extreme Point
The maximum and minimum points in the entire domain of the function.
Instantaneous Rate Of Change
Change in the function f
) at a point x
Line joining two points on the graph of a function.
A line that touches the graph of a function f
) at a point.
If the limit
exists, the function f
) is differentiable at x