If f '(x) changes its sign from negative to positive as x increases t
Question:
If f '(x) changes its sign from negative to positive as x increases through c in the interval (c − h, c + h), then x = c is a point of ______________.
Solution:
First derivative test states that if f '(x) changes sign from negative to positive as x increases through c, then c is a point of local minima, and f(c) is local minimum value.
Thus, if f '(x) changes its sign from negative to positive as x increases through c in the interval (c − h, c + h), then x = c is a point of local minimum.
If f '(x) changes its sign from negative to positive as x increases through c in the interval (c − h, c + h), then x = c is a point of ___local minimum___.