CBSE Class 12 Sample Paper for 2021 Boards
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CBSE Class 12 Sample Paper for 2021 Boards
Last updated at July 23, 2026 by Teachoo
Transcript
Question 32 Find the intervals in which the function š given by š(š„) = tan š„ ā 4š„, š„ ā (0,š/2) is (a) strictly increasing (b) strictly decreasing š(š„) = tan š„ ā 4š„ Finding š^ā² (š) š^ā² (š„)=ćš ššć^2 š„ ā4 Putting š^ā² (š) = 0 ćš ššć^2 š„ ā4=0 ćš ššć^2 š„=4 ćš ššć^2 š„=2^2 ššš š=Ā±š Thus, š=š /š,šš /š,šš /š,ā¦ā¦ā¦ Since š„ ā (0,š/2) ā“ š= š /š Plotting points on Number line Hence, š(š„) is is strictly decreasing in (š,š /š) & š(š„) is strictly increasing in (š /š,š /š)
