Derivatives and Differentials Summary

Graphical Understanding of Integral

Mathematics Volume 2 of 2
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CALCULUS Higher Concepts of Mathematics f(x) = ae^bx (5-19) f(x)dx ^a b e^bx c As with the techniques for finding the derivatives of functions, these general techniques for finding the integral of functions are primarily important only to those who perform detailed mathematical calculations for dynamic systems. These techniques are not encountered in the day-to-day operation of a nuclear facility. However, it is worthwhile to understand that taking an integral is the reverse of taking a derivative. It is important to understand what integral and derivatives are in terms of summations and areas under graphical plot, rates of change, and slopes of graphical plots. Summary The important information covered in this chapter is summarized below. Derivatives and Differentials Summary The derivative of a function is defined as the rate of change of one quantity with respect to another, which is the slope of the function. The integral of a function is defined as the area under the curve. end of text. CONCLUDING MATERIAL Review activities: Preparing activity: DOE - ANL-W, BNL, EG&G Idaho, DOE - NE-73 EG&G Mound, EG&G Rocky Flats, Project Number 6910-0020/2 LLNL, LANL, MMES, ORAU, REECo, WHC, WINCO, WEMCO, and WSRC. MA-05 Page 46 Rev. 0

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