Application of Derivatives

JEE Advanced · Mathematics · 48 past questions

17 of 48 · show all

1. Q4 2021 Paper 2

   Let $f_1:(0,\infty)\to\mathbb{R}$ and $f_2:(0,\infty)\to\mathbb{R}$ be defined by…

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2. Q5 2021 Paper 2

   Let $f_1:(0,\infty)\to\mathbb{R}$ and $f_2:(0,\infty)\to\mathbb{R}$ be defined by…

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3. Q8 2020 Paper 2

   Let the function $f:(0,\pi)\to\mathbb{R}$ be defined by…

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4. Q9 2019 Paper 1

   Let $f: \mathbb{R} \to \mathbb{R}$ be given by…

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5. Q10 2019 Paper 2

   Let $f(x) = \dfrac{\sin \pi x}{x^2}, \quad x>0.$…

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6. Q20 2014 Paper 1

   For every pair of continuous functions $f, g: [0,1] \to \mathbb{R}$ such that…

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7. Q23 2014 Paper 1

   The slope of the tangent to the curve $(y-x^5)^2=x(1+x^2)^2$ at the point $(1,3)$ is

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8. Q24 2014 Paper 2

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9. Q27 2013 Paper 2

   The function $f(x) = 2|x| + |x+2| - ||x+2| - 2|x||$ has a local minimum or a local maximum at $x =$

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10. Q30 2012 Paper 1

    Let $f:\mathbb{R}\to\mathbb{R}$ be defined as $f(x)=|x|+|x^2-1|$. The total number of points at which $f$…

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11. Q31 2012 Paper 1

    Let $p(x)$ be a real polynomial of least degree which has a local maximum at $x=1$ and a local minimum at…

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12. Q33 2010 Paper 1

    Let f, g and h be real-valued functions defined on the interval $[0,1]$ by $f(x)=e^{x^2}+e^{-x^2}$…

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13. Q35 2010 Paper 2

    Let $f$ be a function defined on $\mathbf{R}$ (the set of all real numbers) such that…

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14. Q37 2009 Paper 2

    The maximum value of the function $f(x)=2x^3-15x^2+36x-48$ on the set $A=\{x \mid x^2+20 \le 9x\}$ is

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15. Q38 2009 Paper 2

    Let $p(x)$ be a polynomial of degree 4 having extremum at $x = 1, 2$ and…

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16. Q39 2008 Paper 1

    The total number of local maxima and local minima of the function…

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17. Q44 2007 Paper 1

    In the following $[x]$ denotes the greatest integer less than or equal to $x$. Match the functions in Column…

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