NCERT Exemplar - MCQs
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Last updated at December 16, 2024 by Teachoo
Ā
This question is similar to Question 32 CBSE Class 12 Sample Paper 2021 Boards - Application of Derivatives
Transcript
Question 9 The function f (x) = tan x ā x always increases (B) always decreases (C) never increases (D) sometimes increases and sometimes decreases. Given š(š„) = tan š„ ā š„ Finding š^ā² (š) š^ā² (š„)=ćšššć^š š āš Now, we need to check if š(š) is increasing or decreasing Checking sign of š^ā² (š) š^ā² (š„)=ćšššć^š š āš Now, š¬šš š š (āā,āš]āŖ[š,ā) So, ćšššć^š š š [1,ā) Therefore, we can write this as šā¤ćšššć^š šā¤ā 1āšā¤ćš ššć^2 š„āšā¤āāš 0ā¤ćšššć^š šāšā¤ā Thus, ćš ššć^2 š„ā1ā„0 ā“ š^ā² (š)>š for all values of x Hence, š(š) always increases. So, the correct answer is (A)
