Question

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

Answer 1

The Converse is like the conditional statement but the ifs and thens switch places.

"If a function is differentiable, then it is continuous."

Inverse is like the conditional statement but with not for the ifs and thens.

"If a function is not continuous, then it is not differentiable."

Contrapositive is like the converse but with not for the ifs and thens.

"If a function is not differentiable, then it is not continuous."