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

If f(x)=|1x|, then the points where sin1(f|x|) is non-differentiable are

A
{0,1}
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
{0,1}
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
{0,1,1}
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
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 C {0,1,1}
Given that f(x)=|1x|
f(|x|)=⎪ ⎪ ⎪⎪ ⎪ ⎪x1x>11x0<x11+x1x0x1x<1
Clearly the domain of sin1(f|x|)is[1,1].
It is non differentiable at the points {1,0,1}

flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Relation Between Differentiability and Continuity
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon