JEE Main 2013 — Application of Derivatives Question with Solution
JEE Main 2013 (22 Apr Online)
Question
Statement-1: The function is increasing for all .
Statement-2: The functions and are increasing for all and the sum of two increasing functions in any interval is an increasing function in .
Choose an option
Show full solutionCorrect option: C
Correct answer
CStatement-1 is true; Statement-2 is false.
Step-by-step explanation
Let
For increasing function,
Hence the statement- 2 is false.
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This is a previous-year question from JEE Main 2013, 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.