http://i1084.photobucket.com/albums/j409/QRAWarrior/MATA30/MATA30-IMGY-009.png
Why is this false?

Question

http://i1084.photobucket.com/albums/j409/QRAWarrior/MATA30/MATA30-IMGY-009.png
Why is this false?

precal · Answer

not sure, maybe the on line course made a mistake.  By the way, I am not sure it is true.  Hopefully someone stronger in calculus can respond.

amistre64 · Answer

does continuity imply differentiablity?

amistre64 · Answer

a function that is continuous is not sufficient for differentiability

amistre64 · Answer

f(x) = |x|  is the usual example

phi · Answer

Maybe I am missing something, but doesn't the integral from a to b give a fixed value i.e. a constant.  Taking the derivative of a constant gives zero.

anonymous · Answer

OHHH! I think I see my problem: It is the DEFINITE integral that they differentiated, NOT the indefinite integral.

precal · Answer

Yes, you are correct amistre64.