JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

Suppose

f

is a differentiable real function such that

f(x)+f^{\prime}(x) \leq 1

for all

x

and

f(0)=0

, then the largest possible value of

f(1)

View answer and explanation

Correct option: C

1-e^{-1}

The correct answer is C (

1-e^{-1}

) because it is the largest possible value of f(1) derived from the given differential inequality and initial condition.

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x

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