University:
Santa Ana College
Course:
MATH 180 | Single Variable Calculus I
Academic year:

2023
Views:

110

Pages:

1
Author:

cmjnlandxc19

Interpreting Derivatives Derivatives tell you how fast a function is changing (increasing or decreasing) at a given moment in time… Given the function f(x) then the derivative f’(x) can generally be interpreted….. When ____________ the Function is increasing/decreasing at a rate of f’(x) units/ x Example 1: Given the revenue function R(x) where x is units produced and sold. R’(3) = 8 could be interpreted as: When the 3rd unit is sold the revenue is increasing at a rate of 8 dollars/unit Example 2: Given a population function P(x) for a certain city, where x is the years since 1980 and P(x) is the population of people in hundreds. P’(7) = -57 could be interpreted as…. In 1987, the population is decreasing at a rate of 5700 people/year

Math 180 Interpreting Derivatives

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