non-differentiable points of the GIF

[galactus]

Here's a little calc problem you may find fun. Soroban?. TKH?

"Let \(\displaystyle \L\\f(x)=[a+bsin(x)], \;\ x\in{(0, \pi)}, \;\ a,b\in{Z}\), and [] represents the greatest integer function. Find the number of points where f(x) is NOT differentiable."

 

[tkhunny]

Just off the top, I'm going with:

Independent of a
Total is 2*b - 1
Why does b have to be prime?

I must be missing something.

 

[galactus]

You're right, TKH, b does not have to be prime. It can be an integer.
I fix.