Calculus WorksheetCritical Point Examples Example 1: Find the critical points of the function f(x) = x2/3. Solution: The given function is f(x) = x2/3. Its derivative is, f '(x) = (2/3) x-1/3 = 2 / (3x1/3) Setting f'(x) = 0, we get 2 / (3x1/3) = 0 ⇒ 2...
In this lesson, learn what critical numbers of functions are and how to find the critical points of a function. Moreover, see examples of critical...
Point of Inflection Not a maximum or minimum “Leveling-off Point” When a tangent line is drawn here, it is vertical Testing for Critical Points let x = a be the critical point for f(x) h is a small value greater than zero Maximum f(a – h) < f(a) f(a + h) < f(a) Mini...