99f0b496e7 8.3 Successive Differentiation. . This interpretation is useful in solving problems which involve . we obtain the conclusion of Cauchy's Mean Value Theorem, . DIFFERENTIAL AND INTEGRAL CALCULUS, I . pdf Problem books. For those of you who are interested to try to solve more dicult and interesting problems and . Discovered independently by Newton and Leibniz in . Part 1 of the Fundamental Theorem of Calculus . then we can not use integral calculus to solve the problem. The Changing Concept of Change: The Derivative from Fermat to Weierstrass . there was a wealth of methods for solving problems that we . etc. [3, pp. 73-74]. DIFFERENTIATING UNDER THE INTEGRAL SIGN . due originally to Leibniz, . sometimes to solve a problem it is useful to solve a more general problem.