What are the two most common derivatives?

Could you please elaborate on the two most frequently encountered derivatives in the realm of finance? I'm particularly interested in understanding their fundamental characteristics, applications, and the risks associated with them. Additionally, it would be helpful if you could provide examples to illustrate their practical usage in the financial markets. Could you also discuss how these derivatives are traded and the strategies investors typically adopt when dealing with them? Lastly, could you highlight any recent trends or developments related to these derivatives that might be of significance to investors?