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" S.If "f(x)=(x^(100))/(100)+(x^(99))/(9...

" S.If "f(x)=(x^(100))/(100)+(x^(99))/(99)+(x^(98))/(98)+...+x+1," show that "f'(1)=100f'(0)

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

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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)