`f(t) = cos(t)/(t^3)` Use the Quotient Rule to find the derivative of the function.

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Chapter 2, 2.3 - Problem 12 - Calculus of a Single Variable (10th Edition, Ron Larson).
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hkj1385 | (Level 1) Assistant Educator

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`f(t) = cos(t)/t^3`

`f'(t) = [(t^3)*(-sin(t)) - 3*cos(t)*t^2]/t^6`

`or, f'(t) = [-(t^3)sin(t) - 3(t^2)cos(t)]/t^6`

`or, f'(t) = [-tsin(t) -3cos(t)]/t^4`


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