MAT 1300 Lecture Notes - Lecture 6: Logarithm, Marginal Revenue, Power Rule

• School: University of Ottawa
• Department: Mathematics
• Course: MAT 1300
• Professor: Dongyang Kuang

Document Summary

Learning goals for this lesson: knowing the definition of derivative, knowing how to find the derivative by way of definition, introducing level 1 and level 2 rules of derivatives. A derivative is the limit of another function. From a physical point of view, how fast the function, f(x), is changing is measured by the derivative, f1(x). There are two main equations that essentially find the same outcome but are used for different matters: when given a number- Lim f(x)-f(a) x a x-a: when given a function- Ex: please find the derivative of f(x)= 1 by definition. x (*note: if the question says, by definition , you must solve the derivative this way, not by using other derivative rules) =lim 1/x+h 1/x *side: in this step, cross multiply 1/x+h and 1/x h 0 h. =lim x-(x+h) in this step, do not forget to distribute the into the (x+h) h 0 x (x+h) on the top line h.