Final answer:
The limit definition of derivatives involves the use of the variable 'h' to represent a small change in the independent variable. By taking the limit as 'h' approaches zero, we can find the instantaneous rate of change of a function at a specific point.
Step-by-step explanation:
The limit definition of derivatives involves the use of the variable 'h' to represent a small change in the independent variable (usually denoted as 'x'). By taking the limit as 'h' approaches zero, we can find the instantaneous rate of change of a function at a specific point. The 'h' represents an infinitesimally small change in the independent variable, allowing us to calculate the slope of the tangent line to the graph of the function.