We list below certain differentiation formulae for finding the derivative of functions: Given below are some more formulae of some logarithmic and trigonometric functions: d/dx (xx) = xx(1 + ln x) d/dx (logax) =1/ x ln a d/dx (logaf(x)) =1/ f(x) ln a . d/dx f(x) d/...
Differentiation under the Sign of Integration:Integration is the branch of calculus that deals with finding the sum of small changes in a variable with respect to another variable. If we closely look at this definition, we can understand that integration is the reverse of derivative. While differ...
On a generalization of the operators of fractional integration and differentiation E. L. Radzhabov , On generalization of the operators of Fractional integration and differentiation , Applicable Analysis, 45 (1992), pp. 229–242... Radzhabov,E.L - 《Applicable Analysis》 被引量: 2发表: 1992...
A class of extended backward differentiation formulae suitable for the approximate numerical integration of stiff systems of first order ordinary differential equations is derived. An algorithm is described whereby the required solution is predicted using a conventional backward differentiation scheme and then...
Two of these classes incorporate and supercede all of Kölbig's integration formulae [11], including his formulation for the computation of Cauchy principal values. Also presented are the mathematical derivations that support the implementation of a third class which exploits the incomplete Gamma ...