JEE Main 2013MathematicsDifferentiationEasyMCQ

JEE Main 2013 — Differentiation Question with Solution

JEE Main 2013 (07 Apr)

Question

If y=sectan-1x, then dydx at x=1 is equal to

Choose an option

Show full solutionCorrect option: C
Correct answer
C 1 2

Step-by-step explanation

Given, y=sectan-1x

Differentiating both sides w.r.t. x, we get, 

dydx=sectan-1xtantan-1x·11+x2

At  x=1, we have, tan-1x=π4

dydx=secπ4×tanπ41+12=22=12

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About this question

This is a previous-year question from JEE Main 2013, covering the Differentiation 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.