Question 32 - CBSE Class 12 Sample Paper for 2021 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards
Last updated at February 27, 2025 by Teachoo
Find the intervals in which the function π given by π(π₯) = tan π₯ β 4π₯, π₯ β (0,Ο/2) is
(a) strictly increasingΒ Β Β Β Β (b) strictly decreasing
Question 32 Find the intervals in which the function π given by π(π₯) = tan π₯ β 4π₯, π₯ β (0,π/2) is (a) strictly increasing (b) strictly decreasing
π(π₯) = tan π₯ β 4π₯
Finding π^β² (π)
π^β² (π₯)=γπ ππγ^2 π₯ β4
Putting π^β² (π) = 0
γπ ππγ^2 π₯ β4=0
γπ ππγ^2 π₯=4
γπ ππγ^2 π₯=2^2
πππ π=Β±π
Thus,
π=π /π,ππ /π,ππ /π,β¦β¦β¦
Since π₯ β (0,π/2)
β΄ π= π /π
Plotting points on Number line
Hence,
π(π₯) is is strictly decreasing in (π,π /π)
& π(π₯) is strictly increasing in (π /π,π /π)
Made by
Davneet Singh
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo
Hi, it looks like you're using AdBlock :(
Displaying ads are our only source of revenue. To help Teachoo create more content, and view the ad-free version of Teachooo... please purchase Teachoo Black subscription.
Please login to view more pages. It's free :)
Teachoo gives you a better experience when you're logged in. Please login :)
You are here
