MAC2311 Lecture Notes - Lecture 10: Quotient Rule, Product Rule, Trigonometric Functions
20 Dec 2017
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Document Summary
Provide a generalization to each of the key terms listed in this section. The derivative of any constant, which the constant is normally written with c, will always be 0, which can be expressed by the following rule: Constant rule: limit c d dx (c) = 0 f i h (x) = limh 0h f (x+h) f (x) h i. If you let n be any positive number, then the following rules expresses what happens when you have n as the exponent: (xn) d dx (xn) = (n) xn 1. If you let both c be a constant and f be a di erentiable function, then the following rule(s) would take place: d dx (cf (x)) = c d dx. = c limh 0h f (x+h) f (x) i h h. General rule d dx d dx d dx. [f (x) + g (x)] = d dx. [f (x) g (x)] = d dx.
