CA- Month to Month lease

[Rian Ash]

Hi Bp Experts,

Here is the situation,

I have a property in Hayward, CA. The tenant was on Month to Month lease, but we explicitly have a clause added in the lease that the tenant needs to give 60 day notice if she intends to leave. The tenant just gave me 30 day notice. I understand that in CA, month to month leases have 30 day notice but since my lease explicitly mentioned 60 days, Will my lease cause prevail? 

Thanks!