`f(t) = (3t + 2)/(t - 1), (0,-2)` Find and evaluate the derivative of the function at the given point. Use a graphing utility to verify your result.

Textbook Question

Chapter 2, 2.4 - Problem 69 - Calculus of a Single Variable (10th Edition, Ron Larson).
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tiburtius | High School Teacher | (Level 2) Educator

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First we differentiate the function using the following rule



Now we evaluate the derivative at 0.


In the image below blue is the graph of the function and red is the graph of its derivative.

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