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Find maximum and minimum values of Modulus |x| - Example 27 - Teachoo

Example 27 - Chapter 6 Class 12 Application of Derivatives - Part 2


Transcript

Example 27 Find the maximum and minimum values of f , if any, of the function given by f(x) = |x|, x ∈ R. 𝑓(π‘₯)=|π‘₯|={β–ˆ(βˆ’&π‘₯, π‘₯<[email protected]&π‘₯, π‘₯β‰₯0)─ At x = 0 f(0)=0 And, we note that f(π‘₯)>0 for all π‘₯ except 0 Thus, Minimum value of f(π‘₯)=𝟎 at 𝒙 = 0 Also, Since f(𝒙)>𝟎 for all π‘₯ except 0 So, we cannot find a maximum value Example: f(100)=|100|=100 f(1000)= |1000|=1000 Hence , we cannot find maximum value of f(π‘₯) on 𝒙 ∈ R

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.