What is continuity in differentiation?
Answers
Answered by
2
Continuity and Differentiability. Up to this point, we have used the derivative in some powerful ways. For instance, we saw how critical points (places where the derivative is zero) could be used to optimize various situations. ... Basically, these arise when there are some points near which a function behaves poorly.
Answered by
2
Up to this point, we have used the derivative in some powerful ways. For instance, we saw how critical points (places where the derivative is zero) could be used to optimize various situations. However, there are limits to these techniques which we will discuss here. Basically, these arise when there are some points near which a function behaves poorly.
Continuity
 Thus far in the course, the functions we have considered have been continuous. To say it in plain words, this means that we can draw the graph without lifting our pens like the graph on the right.
To be a bit more precise, we say that a function  is continuous at a pointa when we can make the value of become close to f(a) by taking xclose to a. We will write this as

Continuity
 Thus far in the course, the functions we have considered have been continuous. To say it in plain words, this means that we can draw the graph without lifting our pens like the graph on the right.
To be a bit more precise, we say that a function  is continuous at a pointa when we can make the value of become close to f(a) by taking xclose to a. We will write this as

Similar questions