MHT CET · Maths · Application of Derivatives
If then the maximum value of is ________
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
If
maximum at
maximum at
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If \(\overline{\mathrm{u}}, \overline{\mathrm{v}}\) and \(\overline{\mathrm{w}}\) are three non-coplanar vectors, then \((\bar{u}+\bar{v}-\bar{w}) \cdot[(\bar{u}-\bar{v}) \times(\bar{v}-\bar{w})]\) is equal toMHT CET 2024 Hard
- If \(\bar{a}=\hat{i}+\hat{j}, \bar{b}=2 \hat{i}-\hat{k}\), then point of intersection of the lines \(\bar{r} \times \bar{a}=\bar{b} \times \bar{a}\) and \(\bar{r} \times \bar{b}=\bar{a} \times \bar{b}\) isMHT CET 2022 Easy
- If \(\mathrm{f}(x)=x \cdot \mathrm{e}^{x(1-x)}\), then \(\mathrm{f}(x)\) isMHT CET 2025 Medium
- If \(\mathrm{f}: \mathrm{R} \rightarrow \mathrm{R}\), such that \(f(x)=\frac{e^{x}+e^{-x}}{e^{x}-e^{-x}}\), then \(\mathrm{f}\) isMHT CET 2020 Easy
- The population of towns \(A\) and \(B\) increase at the rate proportional to their population present at that time. At the end of the year 1984, the population of both the towns was 20,000 . At the end of the year 1989, the population of town A was 25,000 and that of town B was 28,000. The difference of populations of towns A and B at the end of 1994 wasMHT CET 2025 Medium
- If \(\left[\begin{array}{lll}1 & 3 & 3 \\ 1 & 4 & 4 \\ 1 & 3 & 4\end{array}\right]\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\left[\begin{array}{l}12 \\ 15 \\ 13\end{array}\right]\), then the value of \(x^2+y^2+z^2=\)MHT CET 2025 Medium
More PYQs from MHT CET
- In the process of digestion, lipids present in oily and fried foods are digested and split into ________ and _______.MHT CET 2020 Medium
- A first order reaction is \(75 \%\) completed in 60 minutes, the time required for it's \(50 \%\) completion is.MHT CET 2020 Easy
- Identify compound A used in following reaction. Benzoic acid \(\underset{\Delta}{\stackrel{A}{\longrightarrow}}\) Benzoyl chloride + Phosphorous oxychloride + Hydrogen chlorideMHT CET 2021 Easy
- In a reaction, \(\left(\mathrm{CH}_3\right)_2 \mathrm{CHMgBr}+\mathrm{CO}_2 \xrightarrow[\text { ether }]{\text { dry }} \mathrm{A} \xrightarrow[\text { dil HCl }]{\mathrm{H} \cdot \mathrm{OH}} \mathrm{~B} .\) Find the product ' \(B\) ' of above reaction.MHT CET 2025 Medium
- A wire of certain length carries a steady current. It is first bent to form a circular coil of one turn. The same wire is then bent to form a circular coil of three turns. The ratio of magnetic inductions at the centre of the coil in the two cases isMHT CET 2022 Medium
- A simple pendulum performs simple harmonic motion about \(\mathrm{x}=0\) with an amplitude ' \(\mathrm{a}\) ' and time period ' \(T\) '. The speed of the pendulum at \(x=\frac{a}{2}\) isMHT CET 2023 Medium