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Example 26 - Chapter 6 Class 12 Application of Derivatives
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Example 26 Find the maximum and the minimum values, if any, of the function f given by f (𝑥) = 𝑥2 , 𝑥 ∈ R f𝑥=𝑥2 First we plot the graph of 𝑥2 Note that at 𝑥 = 0 f0=0 Also we note that f𝑥>0 for all 𝑥 , 𝑥 ∈ R except 0 So minimum value of f𝒙=𝟎 at 𝒙 = 0 Since f𝑥>0 for 𝑥 ∈ R expect 0 So, we can not find a maximum value e.g. f100=1002= 10000 f1000= 10002= 1000000 Hence , we cannot find a maximum value of f𝒙 on , 𝒙 ∈ R
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Chapter 6 Class 12 Application of Derivatives
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About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.