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

Which of the following is (are) true about the function f(x)=34x48x3452x2+105 ?

A
x = 0 is point of local maxima
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
x = 0 is point of local minima
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
x = –3 is point of local minima
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
x = –5 is point of local maxima.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
E
x = –5 is point of local minima.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is D x = –5 is point of local maxima.
f'(x)=3x324x245x=3x(x2+8x+15)f'(x)=3x(x+3)(x+5)f'(x)=0x=0, 3, 5f''(x)=9x248x45=3(3x2+16x+15)f''(0)=45<0.Therefore, x = 0 is point of local maximaf''(3)=18>0Therefore, x = 3 is point of local minimaf''(5)=30<0Therefore, x = 5 is point of local maxima.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Second Derivative Test for Local Minimum
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon