Example 19 - Chapter 6 Class 12 Application of Derivatives
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
Example 19 (Method 1) Find local minimum value of the function f given by f (𝑥) = 3 + |𝑥| , 𝑥 ∈ R. f (𝑥) = 3 + |𝑥| Since Value of |𝒙|≥𝟎 So, Minimum value of |𝑥|=0 Now, Minimum value of f (𝑥) = 3 + Minimum value of |𝑥| = 3 + 0 = 3 Hence minimum value of f (𝑥) = 3 Example 19 (Method 2) Find local minimum value of the function f given by f (𝑥) = 3 + |𝑥|, 𝑥 ∈ R. f (𝑥) = 3 + |𝑥| From graph, f (𝑥) is Minimum at 𝑥 = 0 So, Minimum value of f (𝑥) = f (0) = 3
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About the Author
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo