In (0,27), f(x) = x + sin 2x is
211
2x
2) Maximum atxa
1) Minimum at x=
3
TT
3) Maximum at x =-
4
TT
4) Minimum at x =
6
Answers
Answered by
1
ANSWER
f(x)=sin2x−x,− xcxc2π≤x≤ 2π
Step by step :
f(x)=sin2x−x, −
2
π
≤x≤
2
πf
′
(x)=2cos2x−1 −π/2≤x≤π/2
⇒f
′
(x)=0 −π2x≤π
⇒2cos2x−1=0
cos2x=
2
1
∴2x=
3
π ,
3
−π
x=
6
π
6
−π
at x=
6
π
,f(x) has local maximum
f(
6
π)=sin( 3π )−
6
π
=
2
3
−
6
π
at x=−
6
πf(x) has local minima
f(
6
−π
)=sin(−
3
π )+
6
π
= 6π− 23
Similar questions