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Ex 6.2

Ex 6.2, 1

Ex 6.2,2

Ex 6.2,3 Important You are here

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

Ex 6.2,19 (MCQ) Important

Last updated at May 29, 2023 by Teachoo

Ex 6.2, 3 Find the intervals in which the function f given by f (đĽ) = sin đĽ is (a) strictly increasing in (0 , đ/2) f(đĽ) = sin đĽ fâ(đ) = cos đ Since cos đĽ > 0 for đĽ â ("0 , " đ/2) â´ fâ(đĽ) < 0 for đĽ â (0 , Ď) Thus, f is strictly increasing in ("0 , " đ/2) Rough cos 0 = 1 cos đ/4 = 1/â2 cos đ/2 = 0 Value of cosâĄđĽ > 0 for (0 , đ/2) Ex 6.2, 3 Find the intervals in which the function f given by f (đĽ) = Sin x is (b) strictly decreasing (đ/2,đ)f(đĽ) = sin đĽ fâ(đ) = cos đ Since cos đĽ < 0 for đĽ â (đ/2 , đ) â´ fâ(đĽ) < 0 for đĽ â (đ/2 " , Ď" ) Thus, f is strictly decreasing in (đ/2 " Ď" ) Rough cos đ/2 = 0 cos 3đ/4 = cođ ("Ď â " đ/4) = â cosâĄđ/4 = (â1 )/â2 Value of cos đĽ < o for đĽ â (đ/2 , đ) Ex 6.2, 3 Find the intervals in which the function f given by f (đĽ) = sin x is (c) neither increasing nor decreasing in (0, Ď)(0 , Ď) = (0 , đ/2) âŞ (đ/2,đ) From 1st part f(đĽ) is strictly increasing in (0 , đ/2) And from 2nd part f(đĽ) is strictly decreasing in (đ/2,đ) Thus, f(đ) is neither increasing nor decreasing in (0, Ď)