Question

Write the converse and contrapositive of the following statements.

“If a function is differentiable then it is continuous”

Answer 1

Let p: A function is differentiable,

q: It is continuous.

∴ The symbolic form of the given statement is p → q.

Converse: q → p

i.e. If a function is continuous then it is differentiable

Contrapositive: ~q → ~p

i.e. If a function is not continuous then it is not differentiable.