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

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Revise Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions by covering every subtopic once, drilling formulas, then solving 4+ timed MCQs with full solutions.

Use this Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions revision checklist before mocks and the final exam. Reinforce concepts with 4+ syllabus-aligned MCQs on Goodmarks.

Revision checklist

  1. 1.Core idea: Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions
  2. 2.Relates to other subtopics in Limit, Continuity and Differentiability
  3. 3.Limits and continuity
  4. 4.Chain rule, implicit, logarithmic differentiation
  5. 5.Master Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions definitions and standard results
  6. 6.Solve 20 timed MCQs for Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions

Syllabus context

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

Free sample questions

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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}=

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How should I revise Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions before JEE?

Follow the checklist on this page, revise formulas daily, and attempt mixed MCQs every 2–3 days.

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