In RD Sharma Solutions for Class 12th Maths Chapter 13, students understand the meaning and definition of derivative as a rate measurer. If a quantity y depends on and varies with another quantity x, then the rate of change of the quantity y with respect to x is dydx. To give an example, consider the rate of change of pressure p with respect to the height h, which can be written as dpdh. This can be defined as the derivative as a rate measurer.
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Students further study a topic called instantaneous rate of change of physical quantity, with which they can identify how the rate of change affects a process at a particular moment. The concepts are better understood by solving exercise problems related to that.
The students are also taught some important topics called theorems and remarks on derivatives as a rate measurer. Finally, they get exposed to the definition and meaning of related rates and solve them.