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continuous periodic piecewise differentiable

dwsmith

Well-known member
Feb 1, 2012
1,673
Suppose that $f(\theta)$ is a continuous periodic piecewise differentiable function. Prove that $f(\theta) = f(0) + \int_0^{\theta}g(t)dt$ for a piecewise continuous $g$.

I just need a nudge in the right direction here.
 

girdav

Member
Feb 1, 2012
96
Can you do it when $f$ is differentiable? THen use the fact that there are only finite many points where $f$ is not differentiable.