Attempt the following
Write the converse and contrapositive of the following statements.
"If a function is differentiable then it is continuous".

Answer

To solve the problem, we need to find the converse and contrapositive of the statement: "If a function is differentiable, then it is continuous."

### Step 1: Identify the components of the statement
Let:
- \( P \): A function is differentiable.
- \( Q \): A function is continuous.

The original statement can be written in the form of an implication:
\[ P \implies Q \]

### Step 2: Write the converse
The converse of a statement \( P \implies Q \) is \( Q \implies P \). Therefore, the converse of our statement is:
"If a function is continuous, then it is differentiable."

### Step 3: Write the contrapositive
The contrapositive of a statement \( P \implies Q \) is \( \neg Q \implies \neg P \), where \( \neg \) denotes negation. Thus, the contrapositive of our statement is:
"If a function is not continuous, then it is not differentiable."

### Final Answers
- **Converse**: "If a function is continuous, then it is differentiable."
- **Contrapositive**: "If a function is not continuous, then it is not differentiable."