Hey Guys Hope you are Fine!
i have a problem and i need to know the derivation of this:
lim : 1-sin^2x/ x-pi/2
For me we should use Hospital so:
Lim: -2sin2x/ 1-pi/2 ? right? and then?
and my problem :
f (x) =x + Radical (1 + x ^ 2)
A) proove that x + (Radical) 1 + x ^ 2> 0
B) Calculate derivative of the function f ' [i did this],f and proove that radical (1 + x ^ 2) f' (x) = f (x)
Deduisez in that reel for all x, f (x)> 0
C) proove that
(1 + x ^ 2) f '(x) + xf' (x) = f (x)
Thanks a lot