DSE 2016 doubt

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DSE 2016 doubt

 Answer : C Doubt : I took g(x) as g(x)=(x)^2. Now why isn't the answer D and why is it C (as g''(x)=2 here for all values of x)?
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Re: DSE 2016 doubt

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Re: DSE 2016 doubt

 But both C and D seem correct. Is it a rule that if two correct options are there then we have to mark the one more exhaustive? And do such questions come frequently in DSE?
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Re: DSE 2016 doubt

 In reply to this post by Halflife Because what holds for x^2 may not hold for any other function you take. The problem is solved by applying Rolle's theorem to g'(x).
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Re: DSE 2016 doubt

 Thanks.
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Re: DSE 2016 doubt

 In reply to this post by Halflife I have done this through lagrange interpolation formula ..... check out online .... its esy from that method