How do I find the average rate of change of $f(x) = tan x$ from 0 to $pi/4$ ?

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Answer 1 · 2014-09-19T08:05:57

$(f(x+h)-f(x))/h=(f(b)-(a))/(b-a),$ where $a$ is the lower bound and $b$ is the upper bound.

$(f(pi/4)-f(0))/(pi/4-0)=(tan(pi/4)-tan(0))/(pi/4-0)=(1-0)/(pi/4)=1/(pi/4)=1.2732$

How do I find the average rate of change of f(x) = tan xf(x) = tan x from 0 to pi/4pi/4?