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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 You are here
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, 6 Find the intervals in which the following functions are strictly increasing or decreasing: (c) â2đĽ3 â 9đĽ2 â 12đĽ + 1 f(đĽ) = â2đĽ3 â 9đĽ2 â 12đĽ + 1 Calculating fâ(đ) fâ(đĽ) = â6đĽ2 â18đĽ â 12 + 0 fâ(đĽ) = â6(đĽ2+3đĽ+2) fâ(đĽ) = â6(đĽ2+2đĽ+đĽ+2) fâ(đĽ) = â6(đĽ(đĽ+2)+1(đĽ+2)) fâ(đ) = â6(đ+đ) (đ+đ) Putting fâ(đ) = 0 â 6(đĽ+1) (đĽ+2) = 0 (đĽ+1) (đĽ+2) = 0 So, đĽ = â1 , â2 Plotting points on number line Hence, f is strictly increasing for â2 < đ < â1 & strictly decreasing for đ < â2 & đ > â1 Hence, f is strictly increasing for â2 < đ < â1 & strictly decreasing for đ < â2 & đ > â1