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

Let f(x)={sin(x23x),x06x+5x2,x>0 Then at x=0, f(x)

A
has a local maximum
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
has a local minimum
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
is discontinuous
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
none of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A has a local minimum
f(x)=sin(x23x),x0
=6x+5x2,x>0
f(x)=sin(x23x).(2x3),x0
=6+10x,x>0
Although f(x) in not differentiable at x=0 but by looking at the nature
it can be said that in acquire local minima at x=0.

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