Let the x co-ordinate of a point P on the function f(x)= 2x(x−3)n on [0,3] for which Rolle’s theorem is valid is 34 . Then find 100n is,

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303

300

100

answer is C.

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Detailed Solution

f(x)=2x(x−3)nf′(x)=2xn(x−3)n−1+(x−3)×2f′(c)=0⇒2(c−3)n−1[(c−3)+nc]=0 Given c=34,(n+1)34=3n_=3

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