
Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Ex 6.2
Ex 6.2,2
Ex 6.2,3 Important
Ex 6.2,4
Ex 6.2, 5 Important
Ex 6.2, 6 (a)
Ex 6.2, 6 (b) Important
Ex 6.2, 6 (c) Important
Ex 6.2, 6 (d)
Ex 6.2, 6 (e) Important
Ex 6.2, 7
Ex 6.2,8 Important
Ex 6.2,9 Important
Ex 6.2,10
Ex 6.2,11
Ex 6.2, 12 (A)
Ex 6.2, 12 (B) Important
Ex 6.2, 12 (C) Important
Ex 6.2, 12 (D)
Ex 6.2, 13 (MCQ) Important
Ex 6.2,14 Important
Ex 6.2,15
Ex 6.2, 16
Ex 6.2,17 Important
Ex 6.2,18 You are here
Ex 6.2,19 (MCQ) Important
Last updated at May 29, 2023 by Teachoo
Ex 6.2, 18 Prove that the function given by f (đĽ) = đĽ3 â 3đĽ2 + 3đĽ â 100 is increasing in R. We need to show f(đĽ) is strictly increasing on R i.e. we need to show fâ(đ) > 0 Finding fâ(đ) fâ(đĽ)= 3x2 â 6x + 3 â 0 = 3(đĽ2â2đĽ+1) = 3((đĽ)2+(1)2â2(đĽ)(1)) = 3(đĽâ1)2 Since Square of any number is always positive (đĽâ1)2 > 0 3(đĽâ1)2>0 fâ(đ) > 0 Hence, fâ(đĽ) > 0 for all values of đĽ â´ f(đĽ) is strictly increasing on R