Posted by **Adam Janky** on Thursday, March 10, 2011 at 9:55pm.

Consider the following.

y =

x2 − 9x

x2 + 5x

at (3, −

3

4

)

(a) At the indicated point, find the slope of the tangent line.

(b) At the indicated point, find the instantaneous rate of change of the function.

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