Let `f(x)=x sin pix`, `x gt 0` Then for all natural numbers n, f`(x) vanishes at

Let, f(x)=xsinpix, x gt0 . Then for all natural numbers n, f'(x) vanishes at

Let f(x)=xsinpix,xgt0 .Then for all natural number n, f'(x) vanishes at

Let f(x)=sin x,x =0 then

If f(x+y)=f(x)f(y) and sum_(x=1)^(oo)f(x)=2,x,y in N , where N is the set of all natural numbers , then the value of (f(4))/(f(2)) is :

If f(x)=sin(logx),(x gt 0) then find f'(x)

Let f(x)= sin((pi)/x) and D={x:f(x)gt0) , then D contains

Let f'(x) gt0 and g'(x) lt 0 " for all " x in R Then

Let f(x=sin""pi/x and D= { x : f (x) gt 0} , then D contains