JEE Main 2020MathematicsDifferentiationMediumMCQ

JEE Main 2020 — Differentiation Question with Solution

JEE Main 2020 (07 Jan Shift 1)

Question

If yα=2tanα+cotα1+tan2α+1sin2α, α∈3π4,π, then dydα at α=5π6 is

Choose an option

Show full solutionCorrect option: A
Correct answer
A4

Step-by-step explanation

Simplifying using Trigonometric Identity, we get,

yα=1+cotα

or, yα=-1+cotα, as α∈3π4,π

Hence, dydα=cosec2α

∴ dydαα=5π6=4

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Differentiation chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

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.