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

The function f(x)=2x3+3x2-12x+1 decreases in the interval


A

(2,3)

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

(1,2)

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

(-2,1)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

(-3,-2)

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C

(-2,1)


Determine when the given function is decreasing

Given function f(x)=2x3+3x2-12x+1

f'(x)=6x2+6x-12

The interval in which f(x) is decreasing is given by:
f'(x)<0

6x2+6x-12<0x2+x2<0(x+2)(x1)<0

So x(-2,1)

Hence, the correct option is C


flag
Suggest Corrections
thumbs-up
5
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Composite Functions
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon