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Medium Differentiation of the sum, difference, product and quotient of two functions MCQs for JEE

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Medium Differentiation of the sum, difference, product and quotient of two functions MCQs bridge basics and advanced JEE problems — 2+ available on Goodmarks.

Medium-difficulty Differentiation of the sum, difference, product and quotient of two functions MCQs mirror typical JEE Main questions. Practise 2+ MCQs with step-by-step solutions.

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

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Q1MathsUnit 7: Limit, Continuity and Differentiability
If ddx(1+x2+x41+x+x2)=ax+\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,b, then (a,b)=(a, b)=
Q2MathsUnit 7: Limit, Continuity and Differentiability
If f:R→R\boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R} defined by f(x)=2x2−\boldsymbol{f}(\boldsymbol{x})=\boldsymbol{2} \boldsymbol{x}^{2}- 3x+5,3 x+5, then find the value of f(x+h)−f(x)h\frac{\boldsymbol{f}(\boldsymbol{x}+\boldsymbol{h})-\boldsymbol{f}(\boldsymbol{x})}{\boldsymbol{h}} at h≠0\boldsymbol{h} \neq \mathbf{0}

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