2.1.3-eg-1 - f ( x ) = tan x-x over the interval [-/ 4 ,/...

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Example Find the average rate of change of the function f ( x ) = tan x - x over the interval [ - π/ 4 ,π/ 4]. Solution: The average rate of change of a function f ( x ) over the interval [ a,b ] is given by the slope of the secant line joining ( a, ( f ( a )) to ( b,f ( b )), or by f ( b ) - f ( a ) b - a . So the average rate of change of
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Unformatted text preview: f ( x ) = tan x-x over the interval [-/ 4 ,/ 4] is given by f ( / 4)-f (-/ 4) / 4-(-/ 4) = (tan( / 4)-/ 4)-(tan(-/ 4)-(-/ 4)) / 2 = 2 1- 4 --1 + 4 = 2 2- 2 ....
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