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Important Questions: Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions for JEE

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The most important Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions questions for JEE cover conceptual traps, standard results, and numerical patterns from Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions. Goodmarks provides 4+ high-yield MCQs with full solutions.

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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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What makes a Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions question "important" for JEE?

Important questions test core concepts that appear frequently across JEE Main and Advanced papers — definitions, standard formulas, and classic problem types.

Which subtopics in Limit, Continuity and Differentiability are high-weightage?

Key areas include Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions. Prioritise these before moving to edge cases.

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Revise 30–50 important MCQs per unit in the last month before JEE. Focus on questions you got wrong at least once.

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