Continuity and Differentiability

JEE Advanced · Mathematics · 31 past questions

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1. Q9 2020 Paper 1

   Let the function $f:\mathbb{R}\to\mathbb{R}$ be defined by $f(x)=x^3-x^2+(x-1)\sin x$ and let…

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2. Q11 2020 Paper 2

   Let the functions $f:(-1,1) \to \mathbb{R}$ and $g:(-1,1) \to (-1,1)$ be defined by…

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3. Q21 2015 Paper 1

   Let $g:\mathbb{R}\to\mathbb{R}$ be a differentiable function with $g(0)=0$, $g'(0)=0$ and $g'(1)\neq 0$. Let…

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