`g(t) = picos(t)` Use the rules of differentiation to find the derivative of the function.

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Chapter 2, 2.2 - Problem 20 - Calculus of a Single Variable (10th Edition, Ron Larson).
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mathace | (Level 3) Assistant Educator

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Given: `g(t)=picos(t)`

Find the derivative using the product rule: 

`d/dx[f(x)g(x)]=f(x)g'(x)+g(x)f'(x)`

The derivative is: 

`g'(t)=pi(-sin(t))+cos(t)(0)`

` g'(t)=-pisin(t)`

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