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ContentSuccessive Differentiation
Successive DifferentiationIn general, the differentiation of a function can be differentiated succesively to obtain Higher Order Derivatives. Let function y=f(x) be a function of x. Then the result of differentiating y with respect to x is defined as the derivative or the first derivative of y with respect to x and is denoted as Then the result of differentiating ƒ′(x) with respect to x is defined the second differential derivative of y with respect to x and is denoted as Similarly, the result of differentiating ƒ″(x) with respect to x is defined the third differential derivative of y with respect to x and is denoted as By continuing the differentiation process, the result of differentiating ƒ(x) n times with respect to x successively is defined the nth differential derivative of y with respect to x and is denoted as The second, third, fourth, ..., nth derivatives are called higher order derivatives. nᵗʰ Derivative of Function
©sideway ID: 130700029 Last Updated: 7/15/2013 Revision: 0 Ref: References
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