Number of point(s) where the function f(x)=max(√2x−x2,2−x) is non-differentiable, is/are
A
0.0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is C 2 f(x) is a continuous function but has a sharp turn at x=1 and also not differentiable because of an undefined derivative at x=2. Therefore f(x) is not differentiable at x=1,2.