`f(x) = (3x + 1)/(4x - 3), (4,1)` Find and evaluate the derivative of the function at the given point.

Textbook Question

Chapter 2, Review - Problem 68 - Calculus of a Single Variable (10th Edition, Ron Larson).
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hkj1385 | (Level 1) Assistant Educator

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`f(x) = (3x+1)/(4x-3)`

`f'(x) = [3*(4x-3) - 4*(3x+1)]/(4x-3)^2`

`or, f'(x) = -13/(4x-3)^2`

`or, f'(4) = -13/(4*4 - 3)^2`

`or, f'(4) = -13/(13)^2`

`or, f'(4) = -1/13`

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