MATH 1P97 Lecture Notes - Lecture 2: Marginal Revenue, Differentiable Function, Constant Function

• School: Brock University
• Department: Mathematics and Statistics
• Course: MATH 1P97
• Professor: Sandra Yee

Document Summary

Rule 1: derivative of a constant d dx. The derivative of a constant function is equal to zero (c) = 0. The graph of a constant function is a line parallel to the x axis. Rule 2: the power rule d dx ( xn) = nxn- 1. Rule 3: derivative of a constant multiple of a function d dx. The derivative of a constant times a differentiable function is equal to the constant times the derivative of the function. The derivative of the sum (difference) of two differentiable functions is equal to the sum (difference) of their derivatives. [ f ( x)g( x)]= f ( x)g"( x)+ g( x)+ f "( x) The derivative of the product of two functions is the first function times the derivative of the second function plus the derivative of the first function plus the second function. = (denominator)(derivative of numerator) (numerator)(derrivative of denominator) (g(x) 0)