wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The function f(x)=x3−6x2+9x+1 monotonically decreases for

A
1<x<3
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
x<3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
x>1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
x>3 or x<1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 1<x<3
f(x)=x36x2+9x+1
f(x)=3x212x+9
For monotonically decreases
f(x)<0
3x212x+9<0
x24x+3<0
(x3)(x1)<0
[xϵ(1,3)]

1174809_1347243_ans_3e0a40d14a5d4f95bc3db722ba26dd50.jpg

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon