A local extremum (or relative extremum) of a function is the point at which a maximum or minimum value of the function in some open interval containing the point is obtained. ... This function has an absolute extrema at x = 2 x = 2 x=2 and a local extrema at x = − 1 x = -1 x=−1.
How do you know if its a local extrema?
How to Find Local Extrema with the First Derivative Test
- Find the first derivative of f using the power rule.
- Set the derivative equal to zero and solve for x. x = 0, –2, or 2. These three x-values are the critical numbers of f.
What counts as an extrema?
extremum, plural Extrema, in calculus, any point at which the value of a function is largest (a maximum) or smallest (a minimum). There are both absolute and relative (or local) maxima and minima.
