Differentiation
Derivative of a Function Using First Principle

Suppose f is a realvalued function and a is a point in the domain of definition. If the limit exists, then it is called the derivative of f at a. The derivative of f at a is denoted by.
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 Suppose f is a realvalued function. The derivative of f {denoted by or } is defined by
This definition of derivative is called the first principle of derivative.
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For example, the derivative of is calculated as follows.
We have; using the first principle of derivative, we obtain
Solved Examples
Example 1:
Find the derivative of f(x…
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