NDA 2021
- Exam
- NDA
- Year
- 2021
- Subject
- Mathematics
- Chapter
- Application of Derivatives
NDA 2021 · Mathematics · Application of Derivatives
Consider the following statements in respect of the function f(x)=...
Consider the following statements in respect of the function :
1. increases in the interval .
2. decreases in the interval \left(\frac{5 \pi}{2}, 3 \pi\right)$.
Which of the above statements is/are correct?
Options
- A only
- B only
- CBoth and
- DNeither nor
Correct answer
B. only
Step-by-step solution
Here, , Increases from \left[0, \frac{\pi}{2}\right] decreases from \left[\frac{\pi}{2}, \frac{3 \pi}{2}\right]\text{ Domain }= \left[\frac{5 \pi}{2},3 \pi\right]= \left[2 \pi+\pi\right]= \left[\frac{\pi}{2}, \pi\right] decreases from \left[ , \pi\right]Hence, (2) is correct.