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KCET2014MathematicsCircle

If the function ( f(x) ) defined by [ f(x)= x¹⁰⁰ 100 + x⁹⁹ 99 + + x² 2 +x+1, then f^ (0)= ]

Options

  1. A( 100 )
  2. B( -1 )
  3. C( 100 f^ (0) )
  4. D( 1 )

Correct answer

D. ( 1 )

Step-by-step solution

Given that, ( f(x)= x¹⁰⁰ 100 + x⁹⁹ 99 + s+ x² 2 +x+1 ) here ( f^ (x)=1+x+x²+ .+x⁹⁹ ) Therefore, ( f(0)=1 )

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