`f(t) = 3(sec(pit - 1))^2` Find the derivative of the function.

Textbook Question

Chapter 2, 2.4 - Problem 59 - Calculus of a Single Variable (10th Edition, Ron Larson).
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hkj1385 | (Level 1) Assistant Educator

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`f(t) = 3(sec(pit-1))^2`

`or, f(t) = 3sec^2(pit-1)`

`thus, f'(t) = 6sec(pit-1)*[sec(pit-1)*tan(pit-1)]*pi`

`or, f'(t) = 6pi*sec^2(pit-1)*tan(pit-1)`

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