If `f(x)=(x^(100))/(100)+(x^(99))/(99)+(x^(98))/(98) +------+ x^(2)/2+x+1` then prove that `f^(1) (1)=100. f^(1)(0)`

If f(x) = (x ^(100))/( 100) +( x^(99))/( 99) +( x^(98))/( 98) +---+ (x^(2))/( 2) + x+1 then prove that f^(1) =100 f^(1) (0 )

For the function f(x)=(x^(100))/(100)+(x^(99))/(99)+….+(x^(2))/(2)+x+1. Prove that f'(1)=100f'(0) .

If the function f(x) defined as f(x) = (x^(100))/(100) + (x^(99))/(99) +….+(x^(2))/(2) + x + 1 , then f'(0) =

If the function f(x) defined by f(x)=(x^(100))/(100)+(x^(99))/(99)+.....+(x^(2))/(2)+x+1 , then f'(0)=

If f(x)=(1)/(1-x) then f[f{f(x)}]=

If f(x)= x^(2)+x-1 then the value of f(1) is

If f(x) = (x-1)/(x+1) , then f[1/f(x)] =

Let f(x+(1)/(x))=x^(2)+(1)/(x^(2)), x ne 0, then f(x)=