Which of the following would be a counterexample to the


Question: 1. If a function is not differentiable, then it is not continuous.

2. Which of the following would be a counterexample to the statement: "If f is differentiable at x = a then f is continuous at x = a"?

(a) A function which is not differentiable at x = a but is continuous at x = a.

(b) A function which is not continuous at x = a but is differentiable at x = a.

(c) A function which is both continuous and differentiable at x = a.

(d) A function which is neither continuous nor differentiable at x = a.

Solution Preview :

Prepared by a verified Expert
Mathematics: Which of the following would be a counterexample to the
Reference No:- TGS02397999

Now Priced at $10 (50% Discount)

Recommended (97%)

Rated (4.9/5)