Question

Assertion (A): Consider the function defined as f(x) = |x| + |x − 1|, x ∈ R. Then f(x) is not differentiable at x = 0 and x = 1.

Reason (R): Suppose f be defined and continuous on (a, b) and c ∈ (a, b), then f(x) is not differentiable at x = c if `lim_(h->0^-) (f(c + h) - f(c))/(h) ne lim_(h->0^+) (f(c + h) - f(c))/(h)`.

Options

• Both (A) and (R) are true and (R) is the correct explanation of (A).

• Both (A) and (R) are true but (R) is not the correct explanation of (A).

• (A) is true but (R) is false.

• (A) is false but (R) is true.

Answer 1

Both (A) and (R) are true and (R) is the correct explanation of (A).