Answer
Valid. Let P represent the set of polynomial functions.
Let D represent the set of differentiable functions.
Let C represent the set of continuous functions.
The major the minor premises are diagrammed. There is only one way to compose the premises which is also diagrammed.
Work Step by Step
Given true premises, the conclusion must be true. There is no way for true premises to result in a false conclusion. Hence the argument is valid.
