Mathematics · JEE

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

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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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