JEE Advanced 2021 Paper 2

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Question Stem for Question Nos. 47 and 48
Let f1:(0,) and f2:(0,) be defined by
f1(x)=
x
0
j=121(tj)jdt
,x>0

and f2(x)=98(x1)50600(x1)49+2450,x>0
where for any positive integer n and real numbers a1,a2,...,an, Πi=1nai denotes the product of a1,a2,...,an. Let mi and ni, respectively, denote the number of points of local minima and the number of points of local maxima of function fii=1,2, in the interval (0,)
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Question : 48
Total: 57
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