JEE Main 2020MathematicsDifferentiationEasyMCQ

JEE Main 2020 — Differentiation Question with Solution

JEE Main 2020 (03 Sep Shift 1)

Question

If y2+logecos2x=y,  x∈-π2,π2 then :

Choose an option

Show full solutionCorrect option: C
Correct answer
Cy"(0)=2

Step-by-step explanation

Putting, x=0 in y2+logecos2x=y we get y=0,1

2y·y'+1cos2x·2cosx-sinx=y'

⇒2y·y'-2tanx=y'……1

y'0=0 for y=0&y=1.

Differentiating 1, 2y·y''+2y'2-2sec2x=y'',

y''0=-2 for y=0

y''0=2, for y=1

∴y''0=2

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About this question

This is a previous-year question from JEE Main 2020, 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.