A residential student of a school is putting the following questions to his roommates. Answer
these questions.
a. What is the relation between continuity
and differentiability of a function at a point?
b. What is the first principle of differentiation?
c. Write any one condition where we use the derivative to find the limit of a function.
d. Write one difference between differentiation and integration of a function.
e. In the expression integrate f(x) dx = F(x) + C , what is the relation between f(x) and F(x) from differentiation point of view?