Let f(x)= cases (x-1)^2 1 x-1 -|x|, & x 1 -1, & x=1. cases The set of points where f(x) is not differentiable is

JEE Advanced Mathematics question

Let

f(x)=

The set of points where is not differentiable is

(A)
(B)
(C)Correct
(D)none of these

Answer: (C)

Solution

Doubtful points: (corner of ) and (where the definition changes).

- : is differentiable near (composition of differentiable functions, ), while is not differentiable at . Differentiable non-differentiable = non-differentiable. So is **not**

See the full step-by-step solution

Create a free account to read the complete working (5 steps), and practise questions like this in a timed test.

Create a free account

Question ID VK-109324