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Derivatives of order upto two Previous Year Questions for JEE

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Goodmarks offers 1+ JEE-style PYQs for Derivatives of order upto two with detailed solutions. While official past papers rotate yearly, our bank covers the same concepts, difficulty, and question formats tested in JEE Mathematics.

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

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Q1MathsUnit 7: Limit, Continuity and Differentiability
Assertion(A): Let f(x)\boldsymbol{f}(\boldsymbol{x}) be twice differentiable function such that f′′(x)=−f(x)\boldsymbol{f}^{\prime \prime}(\boldsymbol{x})=-\boldsymbol{f}(\boldsymbol{x}) and f′(x)=g(x).\boldsymbol{f}^{\prime}(\boldsymbol{x})=\boldsymbol{g}(\boldsymbol{x}) . If h(x)=[f(x)]2+[g(x)]2\boldsymbol{h}(\boldsymbol{x})=[\boldsymbol{f}(\boldsymbol{x})]^{2}+[\boldsymbol{g}(\boldsymbol{x})]^{2} and h(1)=8\boldsymbol{h}(\mathbf{1})=\mathbf{8} then⁡h(2)=8\operatorname{then} h(2)=8 Reason (R): Derivative of a constant function is zero.

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Why practise PYQs for Derivatives of order upto two?

PYQs reveal recurring concepts, common traps, and the difficulty level JEE expects. Solving them builds exam temperament and time management.

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Our bank includes exam-style MCQs aligned with JEE Main Mathematics syllabus for Derivatives of order upto two, covering the same topics as previous year papers.

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Solve timed sets, review every explanation, note weak subtopics, then revisit with focused practice on Goodmarks.

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