688 B
688 B
Maximum/Minimum
A function f has an absolute maximum at c if f(c) >= f(x). We call f(c) the maximum value of f.
The absolute maximum is the largest possible output value for a function.
A function f has an absolute minimum at c if f(c) <= f(x). f(c) is the absolute minimum value of f.
The absolute minimum is the smallest possible output value for a function.
- Where the derivative of a function is zero, there is either a peak or a trough.
Critical Numbers
A number is considered critical if the output of a function exists and \dfrac{d}{dx} is zero or undefined.
Local Max/Min
A local max/min is a peak or trough at any point along the graph.