CBSE Class 12-science Answered
Find the intervals in which the function f given by
f(x)=(4sinx-2x-xcosx)/(2+cosx)
is (i)strictly increasing (ii)strictly decreasing.
Asked by vaibhav gupta | 26 Sep, 2013, 06:20: PM
Expert Answer
f(x)=(4sinx -2x-xcosx)/(2+cosx)
diff w.r. to x we will get
f?(x)=(4cosx-cos^2 x)/(2+cosx)^2
or
f'(x)=cosx(4-cosx)/(2+cosx)^2
as we know that
4-cosx>0
so for decreasing function
cosx<0
or
2npi+pi/2<x<2npi+3pi/2 where n?N
for increasing function
2npi-pi/2<x<2npi+pi/2 where n?N
Answered by | 26 Sep, 2013, 10:07: PM
Concept Videos
CBSE 12-science - Maths
Asked by kreetisinghktt | 04 Feb, 2024, 07:50: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by aaravsingh69706 | 12 Jan, 2024, 12:51: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by peethanibindusri | 11 Nov, 2023, 05:06: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by tejaswinimogal12 | 26 Sep, 2023, 08:17: AM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by divyanshusinghchauhan58 | 16 May, 2023, 08:45: AM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by thatipallysneha | 19 Apr, 2022, 01:20: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by princesharma1366 | 08 Apr, 2022, 03:28: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by ars22734957 | 13 Mar, 2022, 08:56: AM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by msdismail07 | 15 Jul, 2021, 10:30: AM
ANSWERED BY EXPERT