

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 You are here
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
Ex 6.2,19 (MCQ) Important
Last updated at May 29, 2023 by Teachoo
Ex 6.2, 5 Find the intervals in which the function f given by f (đĽ) = 2đĽ3 â 3đĽ2 â 36đĽ + 7 is (a) strictly increasing (b) strictly decreasingf(đĽ) = 2đĽ3 â 3đĽ2 â 36đĽ + 7 Calculating fâ(đ) fâ(đĽ) = 6đĽ2 â 6đĽ â 36 + 0 fâ(đĽ) = 6 (đĽ2 â đĽ â 6 ) fâ(đĽ) = 6(đĽ^2 â 3đĽ + 2đĽ â 6) fâ(đĽ) = 6(đĽ(đĽ â 3) + 2 (đĽ â 3)) fâ(đ) = 6(đ â 3) (đ + 2) Putting fâ(x) = 0 6(đĽ+2)(đĽ â3)=0 (đĽ+2)(đĽ â3)=0 So, x = â2 and x = 3 Plotting points on number line Hence, f is strictly increasing in (ââ ,âđ) & (đ ,â) f is strictly decreasing in (âđ, đ)