Ex 6.3, 3 (i) - Chapter 6 Class 12 Application of Derivatives

Last updated at Dec. 16, 2024 by

Slide33.JPG

Slide34.JPG

 

 

 

Share on WhatsApp

Transcript

Ex 6.3, 3 Find the local maxima and local minima, if any, of the following functions. Find also the local maximum & the local minimum values, as the case may be: (i) f (𝑥)=𝑥2 f(𝑥)=𝑥^2 Finding f’(x) f’(x) = 2x Putting f’(x) = 0 2x = 0 x = 0 Finding f’’(x) f’(x) = 2x Differentiating again f’’(x) = 2 Since f’’(x) > 0 for x = 0 So, f(x) is minimum at x = 0 Minimum value of f(x) at x = 0 f(x) = x2 f(0) = 02 = 0 So, Minimum value of f(x) = 0 There is no maximum value

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

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