Quiz on limit and differentiation
Note: Enter
T
or
F
for the following questions and submit your answer by pressing "submit"
.
01. If a function is differentiable on I, it must be continuous on I.
02. If a function is continuous on I, it must be differentiable on I.
03. If f ' (a) = 0, then f attends max. or min. at x = a.
04. If f attend max. at x = a, then f ' (a) = 0.
05. If f attend max. at x = a and f ' (x) is continuous at x = a, then f ' (a) = 0.
06. If f attend max. at x = a and f is differentiable at x = a, then f ' (a) = 0.
07. If f ' (a) is undefined, then f is discontinuous at x = a.
08. If f '(x) < 0 when x is slightly less than a and f '(x) > 0 when x is slightly greater than a, then f must attend min. at x = a.
09. If there is a point of inflexion at x = a, then f '' (a) = 0.
10. If f '' (a) = 0, then there is a point of inflexion at x = a.
11. If f '' (a) is undefined, then f is discontinuous at x = a.
12. If f '' (a) is undefined, then there must be a point of inflexion at x = a.
13. If f '' (x) < 0 when x is slightly less than a and f '' (x) > 0 when x is slightly greater than a, then there must be a point of inflexion at x = a.
14. If f ' (a) = 0 and f '' (a) > 0, then f attend min. at x = a.
15. If f ' (a) = 0 and f '' (a) = 0, then f must not attend min. at x = a.
16. If f '' (x) is continuous at x = a and there is a point of inflexion at x = a, then f '' (a) = 0.
17. If f ' (x) is continuous at x = a and there is a point of inflexion at x = a, then f '' (a) = 0.
18. If f (x) is continuous at x = a and there is a point of inflexion at x = a, then f '' (a) = 0.