How do I find the average rate of change of #f(x) = tan x# from 0 to #pi/4#? Precalculus Linear and Quadratic Functions Average Rate of Change 1 Answer AJ Speller Sep 19, 2014 The average rate of change is the slope, #(f(x+h)-f(x))/h=(f(b)-(a))/(b-a),# where #a# is the lower bound and #b# is the upper bound. #(f(pi/4)-f(0))/(pi/4-0)=(tan(pi/4)-tan(0))/(pi/4-0)=(1-0)/(pi/4)=1/(pi/4)=1.2732# Answer link Related questions What does average rate of change mean? Can average rate of change be negative? How is average rate of change related to linear functions? How is average rate of change related to slope? How can the average rate of change be interpreted from a graph or a function? How do I find the average rate of change for a function between two given values? How do I find the average rate of change of a function like #f(x) = 4x#? What is the average rate of change for a function with the equation #2x + 3y + 6 = 0#? If a company earned $100,000 in 1980 and $400,000 in 2010, what was its average rate of change per year? How do I find the average rate of change of #f(x) = sec x# from 0 to #pi/4#? See all questions in Average Rate of Change Impact of this question 25719 views around the world You can reuse this answer Creative Commons License