Example 14 - Chapter 6 Class 12 Application of Derivatives

Last updated at August 13, 2026 by

Example 14 - Find maximum and minimum values of f(x) = x2 - Examples

part 2 - Example 14 - Examples - Serial order wise - Chapter 6 Class 12 Application of Derivatives

Take a fresh quiz. Then take another.
Every attempt is a new AI-adaptive Teachoo quiz with 2 questions, selected from your answers, mistakes, and progress.
Remove Ads
Teachoo Ā· Class 12 Explore Class 12

Transcript

Example 14 Find the maximum and the minimum values, if any, of the function f given by f (š‘„) = š‘„2 , š‘„ āˆˆ R f(š‘„)=š‘„^2 First we plot the Graph of š’™^šŸ At x = 0 f(0)=0 And, we note that f(š‘„)>0 for all š‘„ except 0 Thus, Minimum value of f(š‘„)=šŸŽ at š’™ = 0 Also, Since f(š’™)>šŸŽ for all š‘„ 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(š‘„) on š’™ āˆˆ R

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.