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Q.

Let f(x) be a function defined on R ( The set of real number) Such that f(x)=2015(x2014)(x2015)2(x2016)3(x2017)4 For all x  R if g (x) is a function defined on R with its values in the interval (0,) such that f(x)=ln(g(x)),xR, Then the number of points in R at which g (x) has a local maximum is

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a

3

b

1

c

2

d

0

answer is B.

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Detailed Solution

g(x)=ef(x)gI(x)=ef(x)fI(x)=0fI(x)=0
Use first derivative test

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