SOLUTION: derive the equation for the average rate of change for the function tan x.

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Question 407665: derive the equation for the average rate of change for the function tan x.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The derivative of tan x is equal to sec%5E2+%28x%29 (this can be shown by the quotient rule). However the average rate of change between two points a and b is simply given by

DELTA%28y%29%2FDELTA%28x%29+=+%28tan%28b%29+-+tan%28a%29%29%2F%28b-a%29.