Application of Derivatives PYQs - Last 5 Years
JEE Advanced / Mathematics / Calculus / 4 recent questions
MathematicsCalculus2022-2026
Practice 4 JEE Advanced Mathematics questions from Application of Derivatives. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
4
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Mathematics / Calculus
2022-2026
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4
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2022-2026
4
Last 10 Years
2017-2026
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4 in last 5 years4 in last 10 years
Last 5 Years Application of Derivatives Questions
Showing 4 of 4 filtered questions.
1Application Of Derivatives
Consider the function $f : (0, \infty) \to (-\infty, \infty)$ given by
$f(x) = \sqrt{x} \log_e(x) - x + 1$.Then which one of the following statements is TRUE?
$f(x) = \sqrt{x} \log_e(x) - x + 1$.Then which one of the following statements is TRUE?
MCQ+3 / -12026
2Application Of Derivatives
Let ℝ denote the set of all real numbers. Let f: ℝ → ℝ be defined by
$f(x) = \begin{cases} \dfrac{6x + \sin x}{2x + \sin x}, & \text{if } x \neq 0, \\ \dfrac{7}{3}, & \text{if } x = 0. \end{cases}$
Then which of the following statements is ...
$f(x) = \begin{cases} \dfrac{6x + \sin x}{2x + \sin x}, & \text{if } x \neq 0, \\ \dfrac{7}{3}, & \text{if } x = 0. \end{cases}$
Then which of the following statements is ...
MCQM+4 / -22025
3Application Of Derivatives
Let $Q$ be the cube with the set of vertices $\left\{\left(x_1, x_2, x_3\right) \in \mathbb{R}^3: x_1, x_2, x_3 \in\{0,1\}\right\}$. Let $F$ be the set of all twelve lines containing the diagonals of the six faces of the cube $Q$. Let $S$ b...
MCQ+3 / -12023
4Application Of Derivatives
Let
\(\alpha=\sum\limits_{k = 1}^\infty {{{\sin }^{2k}}\left( {{\pi \over 6}} \right)}\)
Let $g:[0,1] \rightarrow \mathbb{R}$ be the function defined by
\(g(x)=2^{\alpha x}+2^{\alpha(1-x)} .\)
Then, which of the following stateme...
\(\alpha=\sum\limits_{k = 1}^\infty {{{\sin }^{2k}}\left( {{\pi \over 6}} \right)}\)
Let $g:[0,1] \rightarrow \mathbb{R}$ be the function defined by
\(g(x)=2^{\alpha x}+2^{\alpha(1-x)} .\)
Then, which of the following stateme...
MCQM+4 / -22022