Critical Point MCQ Quiz - Objective Question with Answer for Critical Point - Download Free PDF
Last updated on Mar 24, 2025
Latest Critical Point MCQ Objective Questions
Top Critical Point MCQ Objective Questions
Critical Point Question 1:
The value of \(a\) for which the function \(f(x)=(4a-3)(x+\log 5)+2(a-7)\cot \dfrac x2\sin ^2\dfrac x2\) does not possess critical points is
Answer (Detailed Solution Below)
Option :
India's Super Teachers for all govt. exams Under One Roof
Critical Point Question 1 Detailed Solution
\(f(x)=(4a-3)(x+\log5)+2(a-7)\cot(x/2){ \sin }^{ 2 }x/2\)\\( f(x)=(4a-3)(x+\log5)+(a-7)(2\times \cot(x/2){ \sin }^{ 2 }x/2)\)\\( f(x)=(4a-3)(x+\log5)+(a-7)(\sin\ x)\)\\( f'(x)=(4a-3)+(a-7)(\cos\ x)\)\\( f'(x)\) will not be zero\if \((4a-3)>(a-7)\)\\( 2a>-4\)\\(a>-2\)\or\\(4a-3<-(a-7)\)\\(5a<10\)\\(a<2\)
India’s #1 Learning Platform
Start Complete Exam Preparation
Daily Live MasterClasses
Practice Question Bank
Mock Tests & Quizzes
Trusted by 7.2 Crore+ Students