JEE Main 2020 — Differentiation Question with Solution
From: JEE Main 2020 (Online) 5th September Evening Slot
Question
The derivative of
with
respect to at x = is :
with
respect to at x = is :
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
Let f =
Put x = tan = tan–1 x
f =
f = =
f =
= ....(1)
Let g =
Put x = sin = sin–1 x
g =
g = tan–1 (tan 2) = 2
g = 2sin-1 x
= ...(2)
Using (i) and (ii),
=
At x = , =
Put x = tan = tan–1 x
f =
f = =
f =
= ....(1)
Let g =
Put x = sin = sin–1 x
g =
g = tan–1 (tan 2) = 2
g = 2sin-1 x
= ...(2)
Using (i) and (ii),
=
At x = , =
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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.