What is the difference between quotient rule, product rule and chain rule, and when to use them in differentiation?

Chain rule:when we have a function on its own raised to a certain power. eg: f(x)=(2x+3)³--> f'(x)=3*2(2x+3)²
Product rule:when we have 2 functions or more multiplied by each other.eg: f(x)=g(x)*h(x) --> f'(x)=g'(x)h(x) + g(x)h'(x)
Quotient rule:when we have 2 functions divided by each other. As f(x)=g(x)/h(x) then f'(x)= [h(X)g'(x)-g(x)h'(x)] / [h(x)]²