Is the derivative of a periodic function periodic?

[buzzmath]

Homework Statement

Is the derivative of a periodic function periodic?
Is the integral of a periocic function periodic?

Homework Equations

a function if periodic if f(x)=f(x+p)

The Attempt at a Solution

I think that the derivative won't be periodic but the integral will. I'm not really sure if I'm right or not though.

 

[Dick]

If this is an opinion poll, I think the opposite is true. Spell out why you think so and we can compare opinions. Try sin(x)+1.