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Friday, 9 October

JEE Main Maths · Continuity and Differentiability

tan^-1(2x/(1-x^2)) Piecewise Conversion

tan^-1(2x/(1-x^2)) Piecewise Conversion (Continuity and Differentiability) was asked once in the 42 JEE Main shifts Lumi analysed, in 2017.

Times asked
1
in 1 shift
Years
2017
Usual format
Single correct
Multi-step
Pattern
Gone quiet
asked once so far

How it is asked

  • Derivative of simplified inverse tan expression

Difficulty

Easy 0Medium 1Hard 0

Where it sits

Chapter: Continuity and Differentiability. Topic: Inverse Trig Identities, 20 questions over 18 ideas.

Other repeat ideas in this topic

Every time it came

The question

Newest first, each with its options and official answer.

  1. 2 Apr 2017 (offline) · Q71If for x∈(0,14)x\in\left(0,\frac{1}{4}\right), the derivative of tan⁡−1(6xx1−9x3)\tan^{-1}\left(\frac{6x\sqrt{x}}{1-9x^3}\right) is x⋅g(x)\sqrt{x}\cdot g(x), then…MediumSingle correct