`g(t) = 1/(sqrt(t^2 - 2))` Find the derivative of the function.

Textbook Question

Chapter 2, 2.4 - Problem 22 - Calculus of a Single Variable (10th Edition, Ron Larson).
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hkj1385 | (Level 1) Assistant Educator

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`g(t) = 1/sqrt(t^2 - 2)`

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`or, g(t) = (t^2 - 2)^(-1/2)`

`Thus, g'(t) = -(1/2)*(2t)*(t^2 - 2)^(-3/2)`

`or, g'(t) = -t*(t^2 - 2)^(-3/2)`

`or, g'(t) = -t/(t^2 - 2)^(3/2)`

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