f(x)=(x^(100))/(100)+(x^(99))/(99)+...+(x^(2))/(2)+x+1

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

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)^(n prime prime)=(x^(^^)(100))/(100)+(x^(^^)(99))/(99)+...+(x^(^^)2)/2+x+1. Prove f'(1)=f(0)*100

If f(x)=(x-1)^(100)(x-2)^(2(99))(x-3)^(3(98))…(x-100)^(100), then the value of (f'(101))/(f(101)) is

If f(x)=(x-1)^(100)(x-2)^(2(99))(x-3)^(3(98))…(x-100)^(100), then the value of (f'(101))/(f(101)) is Option 1: 5050 Option 2: 2575 Option 3: 3030 Option 4: 1250

Let f(x)=(a^(x))/(a^(x)+sqrt(a)),a>1 and int_(0)^(2)(f((1)/(100))+f((2)/(100))+f((3)/(100))+...+f((99)/(100)))*dx=k times11 then k=

If f(x) = x^(100) + x^(99) + ….+x + 1 , then f^(')(1) is equal to

The least value of (x+100)^(2)+(x+99)^(2)+...+(x+1)^(2)+x^(2)+(x-1)^(2)+(x-2)^(2)+...+(x-100) is