Goodmarks

Mathematics · JEE

Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions Concepts for JEE

4+ syllabus-aligned questions available

Quick answer

Master Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

Build clear conceptual foundations for Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.

Concept explainer

Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions is a core JEE Main Mathematics subtopic under Limit, Continuity and Differentiability. Master the definitions, standard results, and typical MCQ patterns tested in JEE Main and Advanced.

Key points

  • Understand the definition and scope of Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions in the JEE syllabus
  • Memorise key formulas and standard results linked to Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions
  • Practise 20–40 syllabus-aligned MCQs with step-by-step solutions

JEE tips

  • Revise Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions with a one-page formula sheet before attempting mixed tests
  • After each practice set, log mistakes specific to Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions and reattempt after 48 hours

Common trap

Students often rush Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.

Syllabus context

Part of Limit, Continuity and Differentiability in JEE Main Mathematics.

Free sample questions

Attempt 4 free MCQs for Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions. Unlock the full bank with Pro.

Unlock full bank
Q1MathsUnit 7: Limit, Continuity and Differentiability
If y=sin⁡−112(1+x+1−x)y=\sin ^{-1} \frac{1}{2}(\sqrt{1+x}+\sqrt{1-x}) then y′=y^{\prime}=
Q2MathsUnit 7: Limit, Continuity and Differentiability
Assertion STATEMENT 1: Let f(x)=\boldsymbol{f}(\boldsymbol{x})= sin⁡−1(2x1+x2),f′(2)=−25\sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right), f^{\prime}(2)=-\frac{2}{5} Reason STATEMENT 2:sin⁡−1(2x1+x2)=π2: \sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right)=\pi 2tan⁡−1x∀x>12 \tan ^{-1} x \forall x>1
Q3MathsUnit 7: Limit, Continuity and Differentiability
Ifxy=ex−y\boldsymbol{I} \boldsymbol{f} \quad \boldsymbol{x}^{\boldsymbol{y}}=\boldsymbol{e}^{\boldsymbol{x}-\boldsymbol{y}} \quad then
Q4MathsUnit 7: Limit, Continuity and Differentiability
If cos⁡−1(x2−y2x2+y2)=k\cos ^{-1}\left(\frac{x^{2}-y^{2}}{x^{2}+y^{2}}\right)=k (a constant) then dydx=\frac{d y}{d x}=

Want unlimited Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions practice?

Pro unlocks the full question bank, topic filters, and attempt history.

Get started freeView Pro plans

Popular questions in Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions

Frequently asked questions

What concepts in Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions are essential for JEE?

Focus on core ideas across Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions. JEE tests application, not just memorisation.

Related topics