- Derivative
- 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 derivativeof a function with respect to is called differentiation, and the method for doing so is called the differentiation method. - Derivative of the function
( is a natural number) and constant functions - If
(where is a natural number), then:
When,
When, - If
(where is a constant), then - Differentiation Rules
- Differentiation rules for scalar multiples, sums, and differences of functions
When two functionsand are differentiable: - If
(where is a constant), then - If
, then - If
, then - Differentiation rules for products of functions
When three functions, , and are differentiable: - If
, then
- If
, then
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