1. Derivative
    1. For a differentiable function , the new function created by associating each element of the domain with its derivative is called the derivative of the function . It is denoted by the symbols:

      That is,

      The process of finding the derivative of a function with respect to is called differentiation, and the method for doing so is called the differentiation method.
    2. Derivative of the function ( is a natural number) and constant functions
      1. If (where is a natural number), then:
        When ,
        When ,
      2. If (where is a constant), then

  2. Differentiation Rules
    1. Differentiation rules for scalar multiples, sums, and differences of functions
      When two functions and are differentiable:
      1. If (where is a constant), then
      2. If , then
      3. If , then

    2. Differentiation rules for products of functions
      When three functions , , and are differentiable:
      1. If , then
      2. If , then