Published by:
CGP EDU Academic Team
Published on: August 12, 2026
MATHEMATICS
SECTION-3 : (Maximum Marks : 12)
• This section contains FOUR (04) questions.
• Each question has FOUR options
A
, 
B
, 
C
and 
D
. ONLY ONE of these four options is the correct answer. • For each question, choose the option corresponding to the correct answer. • Answer to each question will be evaluated according to the following marking scheme: Full Marks : +3 If ONLY the correct option is chosen; Zero Marks : 0 If none of the options is chosen (i.e. the question is unanswered); Negative Marks : -1 In all other cases. Let f: [(1, 
) 
R be a differentiable function such that f (1) = 
and 
. Let e denote the base of the natural logarithm. Then the value of f(e) is 
) R be a differentiable function such that f (1) = and . Let e denote the base of the natural logarithm. Then the value of f(e) is
Text Solution
Verified by ExpertsThe correct answer is:
C
Diff. w.r.t 'x'
3f(x) = f(x) + xf'(x) - x 2 
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