Question

If \( A \) denotes the set of continuous functions and \( B \) denotes the set of differentiable functions, then which of the following depicts the correct relation between set \( A \) and \( B \)?

• A.

  

• B.

  

• C.

  

• D.

  

Hint:

In the context of functions, differentiable functions are always continuous, but continuous functions are not always differentiable.

Answer 1

The Correct Option is A

We know that every differentiable function is continuous, but not every continuous function is differentiable. Therefore, set \( A \) (continuous functions) is a subset of set \( B \) (differentiable functions). The correct relation is \( A \subset B \).