Citation:
The implicit derivative is the derivative of an equation that has both dependent and independent variables. It allows us to find the rate of change of one variable with respect to another, even when explicit functions are not given.
The chain rule is used to find the derivative of composite functions by taking derivatives within derivatives.
Differentiation is the process of finding derivatives, which measures how a function changes as its input changes.
The rate at which one quantity changes with respect to another quantity. In this case, it refers to how y changes as x changes.