Application of Derivatives

JEE Advanced · Mathematics · 48 past questions

12 of 48 · show all

1. Q1 2026 Paper 1

   Consider the function $f:(0,\infty)\to(-\infty,\infty)$ given by…

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2. Q6 2021 Paper 2

   Paragraph…

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3. Q12 2018 Paper 2

   Let $f:(0,\pi)\to\mathbb{R}$ be a twice differentiable function such that…

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4. Q13 2017 Paper 1

   Answer Q.52, Q.53 and Q.54 by appropriately matching the information given in the three columns of the…

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5. Q14 2017 Paper 1

   Answer Q.52, Q.53 and Q.54 by appropriately matching the information given in the three columns of the…

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6. Q15 2017 Paper 2

   If $f:\mathbb{R}\to\mathbb{R}$ is a differentiable function such that $f'(x) > 2f(x)$ for all…

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7. Q16 2016 Paper 1

   The least value of $\alpha \in \mathbb{R}$ for which $4\alpha x^2 + \frac{1}{x} \ge 1$, for all $x > 0$, is

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8. Q17 2016 Paper 2

   Let…

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9. Q28 2013 Paper 2

   Paragraph for Questions 53 and 54…

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10. Q29 2013 Paper 2

    Paragraph for Questions 53 and 54…

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11. Q41 2008 Paper 2

    Let $g(x)=\log f(x)$ where $f(x)$ is a twice differentiable positive function on $(0,\infty)$ such that…

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12. Q43 2007 Paper 1

    The tangent to the curve $y=e^x$ drawn at the point $(c, e^c)$ intersects the line joining the points…

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