`f(x) = (x^2 + c^2)/(x^2 - c^2)` Find the derivative of the algebraic function, c is a constant.

Textbook Question

Chapter 2, 2.3 - Problem 37 - Calculus of a Single Variable (10th Edition, Ron Larson).
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hkj1385 | (Level 1) Assistant Educator

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`f(x) = (x^2 + c^2)/(x^2 - c^2)`

`f'(x) = [2x(x^2-c^2) - 2x(x^2+c^2)]/(x^2 - c^2)^2`

`or, f'(x) = (-4xc^2)/(x^2-c^2)^2`

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