SOLUTION: i need help for finding the interval of increase and decrease for rational function

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Question 398844: i need help for finding the interval of increase and decrease for rational function
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Given a rational function y+=+p%28x%29%2Fq%28x%29, the derivative of y is given by

(by the quotient rule)

Set it equal to zero to find all critical points, then you can replace values of x between those critical points to determine whether the function is increasing or decreasing. Note that the function is undefined when q%28x%29+=+0.