JEE Main 2018 — Differentiation Question with Solution
From: JEE Main 2018 (Online) 15th April Evening Slot
Question
If f(x) = sin-1 then f' equals :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Since f(x) = sin
Suppose 3x = tan t
f(x) = sin1 = sin1 (sin2t) = 2t
= 2tan1 (3x)
So, f'(x) =
f ' = . loge 3
= =
Suppose 3x = tan t
f(x) = sin1 = sin1 (sin2t) = 2t
= 2tan1 (3x)
So, f'(x) =
f ' = . loge 3
= =
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This is a previous-year question from JEE Main 2018, 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.