# Ex 6.2,4 - Chapter 6 Class 12 Application of Derivatives

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Ex 6.2,4 Find the intervals in which the function f given by f (ð¥) = 2ð¥2 â 3ð¥ is (a) strictly increasing (b) strictly decreasing f (ð¥) = 2ð¥2 â3ð¥ Step 1: Calculating fâ(ð¥) ï·ðï·®â²ï·¯ï·ð¥ï·¯ = 4ð¥ â 3 Step 2: Putting fâ (ð¥) = 0 4ð¥ â 3 = 0 4ð¥ = 3 ð¥ = ï·3ï·®4ï·¯ Step 3: Drawing graph Point ð¥ = ï·3ï·®4ï·¯ divide the real line into 2 disjoint intervals i.e. ï·âð´ , ï·3ï·®4ï·¯ï·¯ & (ï·3ï·®4ï·¯ ,ð´ ) Step 4: Hence ï·ðï·¯ f is strictly increasing in ï·ï·ðï·®ðï·¯ , ð´uc1ï·¯ ï·ðï·¯ f is strictly decreasing in ï·âð´ï·ðï·®ðï·¯ï·¯

Chapter 6 Class 12 Application of Derivatives

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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.