Question

A point C in the domain of a function f at which either f(c) = 0 or f is not differentiable. what is called the point f
please answer me soon all expert​

Answer 1

point of interaction

Answer 2

A point C in the domain of a function f at which either f(c) = 0 or f is not differentiable.  

The point f  is called the critical point.

c is called the point of local maxima

If f ′(x) changes sign from positive to negative as x increases through c, that is, if f ′(x) > 0 at every point sufficiently close to and to the left of c, and f ′(x) < 0 at every point sufficiently close to and to the right of c.

c is called the point of local minima

If f ′(x) changes sign from negative to positive as x increases through c, that is, if f ′(x) < 0 at every point sufficiently close to and to the left of c, and f ′(x) > 0 at every point sufficiently close to and to the right of c.

c is called the point of inflexion

If f ′(x) does not change sign as x increases through c, then c is neither a point of local maxima nor a point of local minima.