In the interval $(-3,3)$,the function $f(x) = \frac{x}{3} + \frac{3}{x}, x \neq 0$ is :
- Aincreasing
- Bdecreasing
- Cneither increasing nor decreasing
- Dpartly increasing and partly decreasing
Explore More
Similar Questions
Let $R^* = R - \left\{ (2k - 1) \frac{\pi}{2} \mid k \in I \right\}$. The function $f: R^* \rightarrow R$ is defined as $f(x) = \tan x - x$, then $f(x)$ is
The curve represented by $x = t^5 + 5t^3 + 20t + 7$ and $y = 4t^3 - 3t^2 - 18t + 3$ is decreasing in the interval
The function $f(x) = 1 - e^{-\frac{x^2}{2}}$ is .......
Medium
View SolutionShow that the function given by $f(x) = e^{2x}$ is strictly increasing on $R$.
Easy
View SolutionThe function $f(x) = \frac{\log x}{x}$ is increasing in the interval
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo