Differentiation is a mathematical process of finding the rate at which one variable changes with respect to another variable. It is the process of determining the instantaneous rate of change of a function at a given point. In simpler terms, differentiation helps us to calculate how quickly a function is changing at any particular point.

Derivative of a Function:

Distinguish between independent and dependent variables.

Estimate corresponding change in the dependent variable when independent variable is incremented (or decremented).

Explain the concept of a rate of a change.

Define derivative of a function as an instantaneous rate of change of a variable with respect to another variable.

Define derivative or differential coefficient of a function.

Find derivative by first Principle, by ab initio method, by definition.

Differentiate y=x^n, where n belongs to integers, from the first principles (the derivation of power rule.