WBJEE 2023 Math Solved Paper

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Question : 2 of 75

Marks: +1, -0

Suppose f:R→R be given by
f(x)={

1

‌‌‌ if ‌x=1

e(x10−1)+(x−1)2sin‌‌

1

x−1

‌ if ‌x≠1

.
then

f′(1) does not exist
f′(1) exists and is zero
f′(1) exist and is 9
f′(1) exists and is 10

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