Successive Differentiation
Successive Differentiation – The derivative or the differential coefficient of a function ‘f’ of a single variable has already been defined in my previous articles.
- First Order Derivative Solution – Part I
- First Order Derivative Solution – Part II
- Second Order Derivative Solution
It has been found that the derivative or the differential coefficient f’(x) of a function f of a single variable x defined in a domain D is again another function of x defined in a certain domain D’, which is generally a subset of D.
Now it may so happen that the derived function f’(x) can be differentiated again concerning the variable x to give another function of x. This new function, denoted by f’’(x), is called the second-order derivative of the function f. If this function f’’(x) can again be differentiated concerning x, we shall get the third-order derivative, denoted by f’’’(x). This process of differentiating a function successively n times will give fn(x), where n is any positive integer, provided the function admits nth derivative.
The use and importance of successive derivatives of a function will be appreciateddiscussingn on the expansion of functions in series the and formation of differential equations.
Who should attend?
All BE BTech ME MTech BSc MSc students and faculties
Prerequisites
Basic differentiation, integration knowledge.
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