Differentiation PYQs - Last 10 Years
JEE Advanced / Mathematics / Calculus / 2 recent questions
MathematicsCalculus2017-2026
Practice 2 JEE Advanced Mathematics questions from Differentiation. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
2
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Mathematics / Calculus
2023-2026
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2
Last 5 Years
2022-2026
2
Last 10 Years
2017-2026
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MCQM100%
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2 in last 5 years2 in last 10 years
Last 10 Years Differentiation Questions
Showing 2 of 2 filtered questions.
1Differentiation
Let $\mathbb{R}$ denote the set of all real numbers. Consider the polynomial function $f: \mathbb{R} \rightarrow \mathbb{R}$ defined by
$$ f(x)=\frac{d^{10}}{d x^{10}}\left(\left(x^2-1\right)^{10}\right), \quad \text { for all } x \in \math...
$$ f(x)=\frac{d^{10}}{d x^{10}}\left(\left(x^2-1\right)^{10}\right), \quad \text { for all } x \in \math...
MCQM+4 / -12026
2Differentiation
Let $S$ be the set of all twice differentiable functions $f$ from $\mathbb{R}$ to $\mathbb{R}$ such that $\frac{d^2 f}{d x^2}(x)>0$ for all $x \in(-1,1)$. For $f \in S$, let $X_f$ be the number of points $x \in(-1,1)$ for which $f(x)=x$. Th...
MCQM+4 / -22023