JEE Main 2020MathematicsApplication Of DerivativesMonotonicityeasyMCQ

JEE Main 2020Application Of Derivatives Question with Solution

From: JEE Main 2020 (Online) 4th September Morning Slot

Question

Let f be a twice differentiable function on (1, 6). If f(2) = 8, f’(2) = 5, f’(x) 1 and f''(x) 4, for all x (1, 6), then :

Choose an option

Show full solutionCorrect option: B
Correct answer
Bf(5) + f'(5) 28

Step-by-step explanation

Given,







...(1)

Also,







...(2)

From (1) and (2),



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About this question

This is a previous-year question from JEE Main 2020, covering the Application Of Derivatives chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.