Answer
$f'(\theta)=-3\sin{\theta}-\dfrac{\cos{\theta}}{4}$.
Work Step by Step
$f'(\theta)=\dfrac{d}{d\theta}(3\cos{\theta})-\dfrac{d}{d\theta}(\dfrac{\sin{\theta}}{4})\rightarrow$
$f'(\theta)=-3\sin{\theta}-\dfrac{\cos{\theta}}{4}$.
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