Example 19 - Chapter 6 Class 12 Application of Derivatives

Last updated at August 17, 2026 by

Example 19 - Find local minimum value of f(x) = 3 + |x| - Examples - Examples

part 2 - Example 19 - Examples - Serial order wise - Chapter 6 Class 12 Application of Derivatives

Remove Ads Take short quiz All Quiz and Worksheets
Teachoo · Class 12 Explore Class 12

Transcript

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

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.