Great question! Tax law changes frequently and can vary by state, so it is best to check with your tax advisor or the IRS. It will depend on whether you are self-employed, an employee, or some combination of both. This may also depend on what percentage of your home is used for your business.
In any case, if you run a business from your home, review your policy and check with your insurance agent to ensure that you are appropriately covered. Most policies provide a small amount of coverage for certain types of businesses. You may be able to obtain more coverage by purchasing an endorsement, or you may need a separate businessowners policy.
For more information about this topic, check out this article: Is Home Insurance Tax Deductible?.