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Example 26 - Find maximum and minimum values of f(x) = x2

Example 26 - Chapter 6 Class 12 Application of Derivatives - Part 2


Transcript

Example 26 Find the maximum and the minimum values, if any, of the function f given by f (π‘₯) = π‘₯2 , π‘₯ ∈ R f(π‘₯)=π‘₯^2 First we plot the Graph of 𝒙^𝟐 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)^2 = 10000 f(1000)= (1000)^2 = 1000000 Hence , we cannot find maximum value of f(π‘₯) on 𝒙 ∈ R

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.