Mathematics · JEE

Important Questions: Differentiation of the sum, difference, product and quotient of two functions for JEE

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The most important Differentiation of the sum, difference, product and quotient of two functions questions for JEE cover conceptual traps, standard results, and numerical patterns from Differentiation of the sum, difference, product and quotient of two functions. Goodmarks provides 2+ high-yield MCQs with full solutions.

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Syllabus context

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

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Q1MathsUnit 7: Limit, Continuity and Differentiability

\frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}}\left(\frac{1+\boldsymbol{x}^{2}+\boldsymbol{x}^{4}}{1+\boldsymbol{x}+\boldsymbol{x}^{2}}\right)=\boldsymbol{a} \boldsymbol{x}+

b,

then

(a, b)=

Q2MathsUnit 7: Limit, Continuity and Differentiability

\boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R}

defined by

\boldsymbol{f}(\boldsymbol{x})=\boldsymbol{2} \boldsymbol{x}^{2}-

3 x+5,

then find the value of

\frac{\boldsymbol{f}(\boldsymbol{x}+\boldsymbol{h})-\boldsymbol{f}(\boldsymbol{x})}{\boldsymbol{h}}

\boldsymbol{h} \neq \mathbf{0}

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

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Key areas include Differentiation of the sum, difference, product and quotient of two functions. Prioritise these before moving to edge cases.

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