MAT 1339 Chapter 2: chapter2.pdf

• School: University of Ottawa
• Department: Mathematics
• Course: MAT 1339
• Professor: Maryam Hosseini

Document Summary

To be familiar with the basic rules of di erentiation (constant, constant multiple, sum and di erence, power, product, quotient and chain) and be able to use them to nd the derivatives of given functions. To be able to use derivatives to solve problems involving rates of change, including real-world applications from physics and business. To be able to nd second (and potentially higher) derivatives of functions using the rules. Let"s look some more at di erentiation (we"re assuming that all functions below are di er- entiable). f (x + h) f (x) Suppose that f (x) = c, a constant function, then. 0 f(cid:48)(x) = lim h 0 h (c) = 0, which is called the constant rule. c c h. = 0 d dx ie the rate of change of a constant is 0, which makes sense as a constant does not change.