10/15/2015, 12:12 PM
I was thinking about the sign of the n th Derivative.
More precisely real analytic for x>0 where the expansion point Goes from 0 to + oo.
Sine and cosine are simple.
But for other cases , when the expansion point Goes to + oo it is less trivial.
For instance - too give a quite general case -
What about e.g.
D^a(n) f(b(m)) < 0
D^a2(n) f(b2(m)) > 0.
What are the solutions and how to find them easily ?
Maybe this is easy sorry.
I havent thought about it much.
Regards
Tommy1729
More precisely real analytic for x>0 where the expansion point Goes from 0 to + oo.
Sine and cosine are simple.
But for other cases , when the expansion point Goes to + oo it is less trivial.
For instance - too give a quite general case -
What about e.g.
D^a(n) f(b(m)) < 0
D^a2(n) f(b2(m)) > 0.
What are the solutions and how to find them easily ?
Maybe this is easy sorry.
I havent thought about it much.
Regards
Tommy1729