Answer :
f(x)=|x-3|
Since every modulus function is continuous for all real x, f(x) is continuous at x=3.
f(x) = 
To prove differentiable , we will use the following formula.
= 
= f(a)
L.H.L 
= 
= 
= 1
R.H.L: 
= 
= 
= -1
Since, L.H.L 
R.H.L, f(x) is not differentiable at x=5.
Rate this question :
How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
view all courses
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
RELATED QUESTIONS :
Show that of all
Mathematics - Board PapersFind the value of
Mathematics - Board PapersIf x sin (a + y)
Mathematics - ExemplarThe function f(x)
Mathematics - ExemplarShow that of all
Mathematics - Board PapersIf the function f
Mathematics - Board PapersFind <img w
Mathematics - ExemplarLet f(x) = |sinx|
Mathematics - ExemplarThe derivative of
Mathematics - Exemplar